157485600 has 288 divisors, whose sum is σ = 596211840. Its totient is φ = 40043520.

The previous prime is 157485593. The next prime is 157485613. The reversal of 157485600 is 6584751.

157485600 is a `hidden beast` number, since 1 + 5 + 7 + 48 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 496642 + ... + 496958.

It is an arithmetic number, because the mean of its divisors is an integer number (2070180).

Almost surely, 2^157485600 is an apocalyptic number.

157485600 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 157485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298105920).

157485600 is an abundant number, since it is smaller than the sum of its proper divisors (438726240).

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

157485600 is a wasteful number, since it uses less digits than its factorization.

157485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 157485600 is about 12549.3266751647. The cubic root of 157485600 is about 540.0246902291.

The spelling of 157485600 in words is "one hundred fifty-seven million, four hundred eighty-five thousand, six hundred".