157445856 has 240 divisors, whose sum is σ = 512265600. Its totient is φ = 47215872.

The previous prime is 157445831. The next prime is 157445909. The reversal of 157445856 is 658544751.

157445856 is a `hidden beast` number, since 157 + 445 + 8 + 56 = 666.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1132635 + ... + 1132773.

It is an arithmetic number, because the mean of its divisors is an integer number (2134440).

Almost surely, 2^157445856 is an apocalyptic number.

157445856 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 157445856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256132800).

157445856 is an abundant number, since it is smaller than the sum of its proper divisors (354819744).

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

157445856 is a wasteful number, since it uses less digits than its factorization.

157445856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 157445856 is about 12547.7430639936. The cubic root of 157445856 is about 539.9792584626.

The spelling of 157445856 in words is "one hundred fifty-seven million, four hundred forty-five thousand, eight hundred fifty-six".