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134196640 = 25517103479
BaseRepresentation
bin1111111111110…
…10110110100000
3100100111220011221
413333322312200
5233323243030
621152144424
73216436564
oct777726640
9310456157
10134196640
1169828a16
1238b38114
1321a579c6
1413b736a4
15bbabe7a
hex7ffada0

134196640 has 96 divisors (see below), whose sum is σ = 339655680. Its totient is φ = 49926144.

The previous prime is 134196617. The next prime is 134196707. The reversal of 134196640 is 46691431.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 134196596 and 134196605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279921 + ... + 280399.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2134196640 is an apocalyptic number.

134196640 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 134196640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

134196640 is an abundant number, since it is smaller than the sum of its proper divisors (205459040).

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

134196640 is a wasteful number, since it uses less digits than its factorization.

134196640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 134196640 is about 11584.3273434412. The cubic root of 134196640 is about 511.9731838169.

The spelling of 134196640 in words is "one hundred thirty-four million, one hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 103 136 160 170 206 272 340 412 479 515 544 680 824 958 1030 1360 1648 1751 1916 2060 2395 2720 3296 3502 3832 4120 4790 7004 7664 8143 8240 8755 9580 14008 15328 16286 16480 17510 19160 28016 32572 35020 38320 40715 49337 56032 65144 70040 76640 81430 98674 130288 140080 162860 197348 246685 260576 280160 325720 394696 493370 651440 789392 838729 986740 1302880 1578784 1677458 1973480 3354916 3946960 4193645 6709832 7893920 8387290 13419664 16774580 26839328 33549160 67098320 134196640