157552896 has 72 divisors (see below), whose sum is σ = 421423744. Its totient is φ = 52254720.

The previous prime is 157552861. The next prime is 157552897. The reversal of 157552896 is 698255751.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (157552897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207750 + ... + 208506.

Almost surely, 2^157552896 is an apocalyptic number.

157552896 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 157552896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210711872).

157552896 is an abundant number, since it is smaller than the sum of its proper divisors (263870848).

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

157552896 is an equidigital number, since it uses as much as digits as its factorization.

157552896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1033 counting only the distinct ones).

The product of its digits is 756000, while the sum is 48.

The square root of 157552896 is about 12552.0076481812. The cubic root of 157552896 is about 540.1015995388.

The spelling of 157552896 in words is "one hundred fifty-seven million, five hundred fifty-two thousand, eight hundred ninety-six".