157296480 has 192 divisors, whose sum is σ = 558544896. Its totient is φ = 36902400.

The previous prime is 157296479. The next prime is 157296481. The reversal of 157296480 is 84692751.

It is an interprime number because it is at equal distance from previous prime (157296479) and next prime (157296481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157296481) 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, 5074065 + ... + 5074095.

It is an arithmetic number, because the mean of its divisors is an integer number (2909088).

Almost surely, 2^157296480 is an apocalyptic number.

157296480 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 157296480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279272448).

157296480 is an abundant number, since it is smaller than the sum of its proper divisors (401248416).

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

157296480 is an equidigital number, since it uses as much as digits as its factorization.

157296480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 157296480 is about 12541.7893460224. The cubic root of 157296480 is about 539.8084368528.

The spelling of 157296480 in words is "one hundred fifty-seven million, two hundred ninety-six thousand, four hundred eighty".