157495200 has 144 divisors (see below), whose sum is σ = 517466880. Its totient is φ = 41605120.

The previous prime is 157495181. The next prime is 157495211. The reversal of 157495200 is 2594751.

157495200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328561 + ... + 329039.

It is an arithmetic number, because the mean of its divisors is an integer number (3593520).

Almost surely, 2^157495200 is an apocalyptic number.

157495200 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 157495200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258733440).

157495200 is an abundant number, since it is smaller than the sum of its proper divisors (359971680).

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

157495200 is a wasteful number, since it uses less digits than its factorization.

157495200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 157495200 is about 12549.7091599766. The cubic root of 157495200 is about 540.0356629396.

The spelling of 157495200 in words is "one hundred fifty-seven million, four hundred ninety-five thousand, two hundred".