157500 has 90 divisors (see below), whose sum is σ = 568568. Its totient is φ = 36000.

The previous prime is 157489. The next prime is 157513. The reversal of 157500 is 5751.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 22497 + ... + 22503.

2¹⁵⁷⁵⁰⁰ is an apocalyptic number.

157500 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 157500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284284).

157500 is an abundant number, since it is smaller than the sum of its proper divisors (411068).

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

157500 is a wasteful number, since it uses less digits than its factorization.

157500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 157500 is about 396.8626966597. The cubic root of 157500 is about 54.0041149128.

Multiplying 157500 by its product of nonzero digits (175), we get a square (27562500 = 5250²).

157500 divided by its product of nonzero digits (175) gives a square (900 = 30²).

The spelling of 157500 in words is "one hundred fifty-seven thousand, five hundred".