157020600 has 192 divisors, whose sum is σ = 546215040. Its totient is φ = 36979200.

The previous prime is 157020599. The next prime is 157020607. The reversal of 157020600 is 6020751.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157020607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243879 + ... + 244521.

It is an arithmetic number, because the mean of its divisors is an integer number (2844870).

Almost surely, 2^157020600 is an apocalyptic number.

157020600 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 157020600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273107520).

157020600 is an abundant number, since it is smaller than the sum of its proper divisors (389194440).

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

157020600 is a wasteful number, since it uses less digits than its factorization.

157020600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 157020600 is about 12530.7860886698. The cubic root of 157020600 is about 539.4926647924.

The spelling of 157020600 in words is "one hundred fifty-seven million, twenty thousand, six hundred".