157131600 has 120 divisors (see below), whose sum is σ = 517094880. Its totient is φ = 40757760.

The previous prime is 157131581. The next prime is 157131631. The reversal of 157131600 is 6131751.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 42631 + ... + 46169.

It is an arithmetic number, because the mean of its divisors is an integer number (4309124).

Almost surely, 2^157131600 is an apocalyptic number.

157131600 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 157131600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258547440).

157131600 is an abundant number, since it is smaller than the sum of its proper divisors (359963280).

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

157131600 is a wasteful number, since it uses less digits than its factorization.

157131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 157131600 is about 12535.2143978474. The cubic root of 157131600 is about 539.6197597520.

The spelling of 157131600 in words is "one hundred fifty-seven million, one hundred thirty-one thousand, six hundred".