157916640 has 192 divisors, whose sum is σ = 582253056. Its totient is φ = 35223552.

The previous prime is 157916639. The next prime is 157916651. The reversal of 157916640 is 46619751.

157916640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143934 + ... + 145026.

It is an arithmetic number, because the mean of its divisors is an integer number (3032568).

Almost surely, 2^157916640 is an apocalyptic number.

157916640 is a gapful number since it is divisible by the number (10) 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 157916640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291126528).

157916640 is an abundant number, since it is smaller than the sum of its proper divisors (424336416).

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

157916640 is a wasteful number, since it uses less digits than its factorization.

157916640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 157916640 is about 12566.4887697399. The cubic root of 157916640 is about 540.5169261287.

The spelling of 157916640 in words is "one hundred fifty-seven million, nine hundred sixteen thousand, six hundred forty".