157640256 has 140 divisors (see below), whose sum is σ = 477975168. Its totient is φ = 51349248.

The previous prime is 157640251. The next prime is 157640281. The reversal of 157640256 is 652046751.

It is a happy number.

157640256 is a `hidden beast` number, since 1 + 5 + 7 + 640 + 2 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 157640256.

It is not an unprimeable number, because it can be changed into a prime (157640251) 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 19 ways as a sum of consecutive naturals, for example, 243325 + ... + 243971.

Almost surely, 2^157640256 is an apocalyptic number.

157640256 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 157640256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238987584).

157640256 is an abundant number, since it is smaller than the sum of its proper divisors (320334912).

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

157640256 is an equidigital number, since it uses as much as digits as its factorization.

157640256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 157640256 is about 12555.4870873256. The cubic root of 157640256 is about 540.2014063527.

The spelling of 157640256 in words is "one hundred fifty-seven million, six hundred forty thousand, two hundred fifty-six".