157039200 has 216 divisors, whose sum is σ = 586790568. Its totient is φ = 39383040.

The previous prime is 157039187. The next prime is 157039213. The reversal of 157039200 is 2930751.

157039200 is a `hidden beast` number, since 1 + 570 + 3 + 92 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (157039187) and next prime (157039213).

It is a super-2 number, since 2×157039200² = 49322620673280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121759 + ... + 123041.

It is an arithmetic number, because the mean of its divisors is an integer number (2716623).

Almost surely, 2^157039200 is an apocalyptic number.

157039200 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 157039200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293395284).

157039200 is an abundant number, since it is smaller than the sum of its proper divisors (429751368).

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

157039200 is a wasteful number, since it uses less digits than its factorization.

157039200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 157039200 is about 12531.5282388063. The cubic root of 157039200 is about 539.5139659622.

Adding to 157039200 its reverse (2930751), we get a palindrome (159969951).

The spelling of 157039200 in words is "one hundred fifty-seven million, thirty-nine thousand, two hundred".