157864896 has 224 divisors, whose sum is σ = 548802560. Its totient is φ = 43545600.

The previous prime is 157864877. The next prime is 157864897. The reversal of 157864896 is 698468751.

157864896 is a `hidden beast` number, since 1 + 578 + 64 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2903040) is a multiple of the sum of its prime factors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157864897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374766 + ... + 375186.

Almost surely, 2^157864896 is an apocalyptic number.

157864896 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 157864896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274401280).

157864896 is an abundant number, since it is smaller than the sum of its proper divisors (390937664).

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

157864896 is a wasteful number, since it uses less digits than its factorization.

157864896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 157864896 is about 12564.4297920757. The cubic root of 157864896 is about 540.4578832414.

The spelling of 157864896 in words is "one hundred fifty-seven million, eight hundred sixty-four thousand, eight hundred ninety-six".