157355360 has 96 divisors (see below), whose sum is σ = 384652800. Its totient is φ = 60802560.

The previous prime is 157355353. The next prime is 157355399. The reversal of 157355360 is 63553751.

157355360 = T₂₂₈₀ + T₂₂₈₁ + ... + T₂₃₃₈.

It is a self number, because there is not a number n which added to its sum of digits gives 157355360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745655 + ... + 745865.

It is an arithmetic number, because the mean of its divisors is an integer number (4006800).

Almost surely, 2^157355360 is an apocalyptic number.

157355360 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 157355360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192326400).

157355360 is an abundant number, since it is smaller than the sum of its proper divisors (227297440).

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

157355360 is a wasteful number, since it uses less digits than its factorization.

157355360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 35.

The square root of 157355360 is about 12544.1364788494. The cubic root of 157355360 is about 539.8757830425.

The spelling of 157355360 in words is "one hundred fifty-seven million, three hundred fifty-five thousand, three hundred sixty".