157134335904 has 1152 divisors, whose sum is σ = 606285388800. Its totient is φ = 37468569600.

The previous prime is 157134335873. The next prime is 157134335929. The reversal of 157134335904 is 409533431751.

157134335904 is a `hidden beast` number, since 1 + 5 + 7 + 13 + 43 + 3 + 590 + 4 = 666.

It is a super-2 number, since 2×157134335904² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 157134335904.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1555785454 + ... + 1555785554.

It is an arithmetic number, because the mean of its divisors is an integer number (526289400).

Almost surely, 2^157134335904 is an apocalyptic number.

157134335904 is a gapful number since it is divisible by the number (14) 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 157134335904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303142694400).

157134335904 is an abundant number, since it is smaller than the sum of its proper divisors (449151052896).

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

157134335904 is a wasteful number, since it uses less digits than its factorization.

157134335904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 157134335904 in words is "one hundred fifty-seven billion, one hundred thirty-four million, three hundred thirty-five thousand, nine hundred four".