157092825564192 has 192 divisors, whose sum is σ = 471533100917760. Its totient is φ = 44859422260224.

The previous prime is 157092825564173. The next prime is 157092825564209. The reversal of 157092825564192 is 291465528290751.

It is a super-2 number, since 2×157092825564192² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17245886934 + ... + 17245896042.

It is an arithmetic number, because the mean of its divisors is an integer number (2455901567280).

Almost surely, 2^{157092825564192} is an apocalyptic number.

157092825564192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157092825564192 is an abundant number, since it is smaller than the sum of its proper divisors (314440275353568).

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

157092825564192 is a wasteful number, since it uses less digits than its factorization.

157092825564192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20175 (or 20167 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 66.

The spelling of 157092825564192 in words is "one hundred fifty-seven trillion, ninety-two billion, eight hundred twenty-five million, five hundred sixty-four thousand, one hundred ninety-two".