157300 has 54 divisors (see below), whose sum is σ = 404054. Its totient is φ = 52800.

The previous prime is 157291. The next prime is 157303. The reversal of 157300 is 3751.

Added to its reverse (3751) it gives a 5-th power (161051 = 11⁵).

157300 = T₅₃ + T₅₄ + ... + T₁₀₂.

157300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 484 + 156816 = 22^2 + 396^2 .

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157303) by changing a digit.

157300 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 17 ways as a sum of consecutive naturals, for example, 12094 + ... + 12106.

2¹⁵⁷³⁰⁰ is an apocalyptic number.

157300 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 157300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202027).

157300 is an abundant number, since it is smaller than the sum of its proper divisors (246754).

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

157300 is a wasteful number, since it uses less digits than its factorization.

157300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 157300 is about 396.6106403010. The cubic root of 157300 is about 53.9812463456.

Adding to 157300 its reverse (3751), we get a 5-th power (161051 = 11⁵).

The spelling of 157300 in words is "one hundred fifty-seven thousand, three hundred".