157200 has 60 divisors (see below), whose sum is σ = 507408. Its totient is φ = 41600.

The previous prime is 157189. The next prime is 157207. The reversal of 157200 is 2751.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 157200.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 157200.

It is not an unprimeable number, because it can be changed into a prime (157207) by changing a digit.

157200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1135 + ... + 1265.

2¹⁵⁷²⁰⁰ is an apocalyptic number.

157200 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 157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253704).

157200 is an abundant number, since it is smaller than the sum of its proper divisors (350208).

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

157200 is a wasteful number, since it uses less digits than its factorization.

157200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 157200 is about 396.4845520320. The cubic root of 157200 is about 53.9698047924.

Adding to 157200 its reverse (2751), we get a palindrome (159951).

Subtracting from 157200 its reverse (2751), we obtain a square (154449 = 393²).

The spelling of 157200 in words is "one hundred fifty-seven thousand, two hundred".