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134725753314 = 232193307126323
BaseRepresentation
bin111110101111001000…
…1111101100111100010
3110212202021021101110100
41331132101331213202
54201404243101224
6141520412243230
712506426002545
oct1753621754742
9425667241410
10134725753314
11521561a2589
122213b470516
13c920c81679
146740d7c85c
153787b96ac9
hex1f5e47d9e2

134725753314 has 48 divisors (see below), whose sum is σ = 294376354272. Its totient is φ = 44530020864.

The previous prime is 134725753207. The next prime is 134725753319. The reversal of 134725753314 is 413357527431.

134725753314 is a `hidden beast` number, since 1 + 3 + 4 + 72 + 575 + 3 + 3 + 1 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 134725753314.

It is not an unprimeable number, because it can be changed into a prime (134725753319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1003357 + ... + 1129679.

It is an arithmetic number, because the mean of its divisors is an integer number (6132840714).

Almost surely, 2134725753314 is an apocalyptic number.

134725753314 is an abundant number, since it is smaller than the sum of its proper divisors (159650600958).

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

134725753314 is a wasteful number, since it uses less digits than its factorization.

134725753314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126831 (or 126828 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The spelling of 134725753314 in words is "one hundred thirty-four billion, seven hundred twenty-five million, seven hundred fifty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 193 307 386 579 614 921 1158 1737 1842 2763 3474 5526 59251 118502 126323 177753 252646 355506 378969 533259 757938 1066518 1136907 2273814 24380339 38781161 48760678 73141017 77562322 116343483 146282034 219423051 232686966 349030449 438846102 698060898 7484764073 14969528146 22454292219 44908584438 67362876657 134725753314