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134157648330 = 23354364317971
BaseRepresentation
bin111110011110001101…
…0110100000111001010
3110211021200021122221000
41330330122310013022
54144223324221310
6141344155555430
712456360124026
oct1747432640712
9424250248830
10134157648330
1151994549932
122200115bb76
13c860372484
1466c9739386
153752d794c0
hex1f3c6b41ca

134157648330 has 128 divisors (see below), whose sum is σ = 366663306240. Its totient is φ = 34887101760.

The previous prime is 134157648271. The next prime is 134157648389. The reversal of 134157648330 is 33846751431.

134157648330 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 576 + 48 + 3 + 30 = 666.

134157648330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (134157648271) and next prime (134157648389).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7456245 + ... + 7474215.

It is an arithmetic number, because the mean of its divisors is an integer number (2864557080).

Almost surely, 2134157648330 is an apocalyptic number.

134157648330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134157648330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183331653120).

134157648330 is an abundant number, since it is smaller than the sum of its proper divisors (232505657910).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134157648330 is a wasteful number, since it uses less digits than its factorization.

134157648330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18673 (or 18667 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 134157648330 in words is "one hundred thirty-four billion, one hundred fifty-seven million, six hundred forty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 643 645 774 1161 1286 1290 1929 1935 2322 3215 3858 3870 5787 5805 6430 9645 11574 11610 17361 17971 19290 27649 28935 34722 35942 53913 55298 57870 82947 86805 89855 107826 138245 161739 165894 173610 179710 248841 269565 276490 323478 414735 485217 497682 539130 746523 772753 808695 829470 970434 1244205 1493046 1545506 1617390 2318259 2426085 2488410 3732615 3863765 4636518 4852170 6954777 7465230 7727530 11555353 11591295 13909554 20864331 23110706 23182590 34666059 34773885 41728662 57776765 69332118 69547770 103998177 104321655 115553530 173330295 207996354 208643310 311994531 346660590 496880179 519990885 623989062 993760358 1039981770 1490640537 1559972655 2484400895 2981281074 3119945310 4471921611 4968801790 7453202685 8943843222 13415764833 14906405370 22359608055 26831529666 44719216110 67078824165 134157648330