157452400 has 120 divisors (see below), whose sum is σ = 440891424. Its totient is φ = 52915200.

The previous prime is 157452391. The next prime is 157452401. The reversal of 157452400 is 4254751.

157452400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157452401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147870 + ... + 148930.

Almost surely, 2^157452400 is an apocalyptic number.

157452400 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 157452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220445712).

157452400 is an abundant number, since it is smaller than the sum of its proper divisors (283439024).

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

157452400 is a wasteful number, since it uses less digits than its factorization.

157452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 157452400 is about 12548.0038253102. The cubic root of 157452400 is about 539.9867395006.

It can be divided in two parts, 15745 and 2400, that added together give a triangular number (18145 = T₁₉₀).

The spelling of 157452400 in words is "one hundred fifty-seven million, four hundred fifty-two thousand, four hundred".