157795456 has 256 divisors, whose sum is σ = 438681600. Its totient is φ = 54743040.

The previous prime is 157795447. The next prime is 157795457. The reversal of 157795456 is 654597751.

It is not an unprimeable number, because it can be changed into a prime (157795457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5090161 + ... + 5090191.

It is an arithmetic number, because the mean of its divisors is an integer number (1713600).

Almost surely, 2^157795456 is an apocalyptic number.

157795456 is a gapful number since it is divisible by the number (16) 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 157795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219340800).

157795456 is an abundant number, since it is smaller than the sum of its proper divisors (280886144).

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

157795456 is a wasteful number, since it uses less digits than its factorization.

157795456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its digits is 1323000, while the sum is 49.

The square root of 157795456 is about 12561.6661315289. Note that the first 3 decimals coincide. The cubic root of 157795456 is about 540.3786279195.

The spelling of 157795456 in words is "one hundred fifty-seven million, seven hundred ninety-five thousand, four hundred fifty-six".