157288320 has 384 divisors, whose sum is σ = 641571840. Its totient is φ = 34762752.

The previous prime is 157288303. The next prime is 157288321. The reversal of 157288320 is 23882751.

157288320 is a `hidden beast` number, since 1 + 57 + 288 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157288321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1894999 + ... + 1895081.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^157288320 is an apocalyptic number.

157288320 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 157288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320785920).

157288320 is an abundant number, since it is smaller than the sum of its proper divisors (484283520).

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

157288320 is a wasteful number, since it uses less digits than its factorization.

157288320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 157288320 is about 12541.4640293707. The cubic root of 157288320 is about 539.7991022234.

The spelling of 157288320 in words is "one hundred fifty-seven million, two hundred eighty-eight thousand, three hundred twenty".