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134299527960 = 233513281930539
BaseRepresentation
bin111110100010011100…
…0000010101100011000
3110211122120020220012010
41331010320002230120
54200021134343320
6141410224545520
712463032103203
oct1750470025430
9424576226163
10134299527960
1151a57645124
12220407822a0
13c88388a210
14670050c93a
153760552ae0
hex1f44e02b18

134299527960 has 128 divisors (see below), whose sum is σ = 434058912000. Its totient is φ = 33045536256.

The previous prime is 134299527931. The next prime is 134299527983. The reversal of 134299527960 is 69725992431.

134299527960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3664692-1.

It is a self number, because there is not a number n which added to its sum of digits gives 134299527960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4382371 + ... + 4412909.

It is an arithmetic number, because the mean of its divisors is an integer number (3391085250).

Almost surely, 2134299527960 is an apocalyptic number.

134299527960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134299527960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217029456000).

134299527960 is an abundant number, since it is smaller than the sum of its proper divisors (299759384040).

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

134299527960 is a wasteful number, since it uses less digits than its factorization.

134299527960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33385 (or 33381 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 134299527960 in words is "one hundred thirty-four billion, two hundred ninety-nine million, five hundred twenty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 2819 5638 8457 11276 14095 16914 22552 28190 30539 33828 36647 42285 56380 61078 67656 73294 84570 91617 109941 112760 122156 146588 152695 169140 183234 183235 219882 244312 293176 305390 338280 366468 366470 397007 439764 458085 549705 610780 732936 732940 794014 879528 916170 1099410 1191021 1221560 1465880 1588028 1832340 1985035 2198820 2382042 3176056 3664680 3970070 4397640 4764084 5955105 7940140 9528168 11910210 15880280 23820420 47640840 86089441 172178882 258268323 344357764 430447205 516536646 688715528 860894410 1033073292 1119162733 1291341615 1721788820 2066146584 2238325466 2582683230 3357488199 3443577640 4476650932 5165366460 5595813665 6714976398 8953301864 10330732920 11191627330 13429952796 16787440995 22383254660 26859905592 33574881990 44766509320 67149763980 134299527960