157454500320 has 960 divisors, whose sum is σ = 630701406720. Its totient is φ = 36703383552.

The previous prime is 157454500309. The next prime is 157454500363. The reversal of 157454500320 is 23005454751.

157454500320 is a `hidden beast` number, since 1 + 5 + 74 + 54 + 500 + 32 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 693632047 + ... + 693632273.

It is an arithmetic number, because the mean of its divisors is an integer number (656980632).

Almost surely, 2^157454500320 is an apocalyptic number.

157454500320 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 157454500320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315350703360).

157454500320 is an abundant number, since it is smaller than the sum of its proper divisors (473246906400).

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

157454500320 is a wasteful number, since it uses less digits than its factorization.

157454500320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 157454500320 in words is "one hundred fifty-seven billion, four hundred fifty-four million, five hundred thousand, three hundred twenty".