157674400 has 72 divisors (see below), whose sum is σ = 414559404. Its totient is φ = 58214400.

The previous prime is 157674389. The next prime is 157674409. The reversal of 157674400 is 4476751.

It is a happy number.

157674400 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 6 ways, for example, as 33039504 + 124634896 = 5748^2 + 11164^2 .

It is a super-2 number, since 2×157674400² = 49722432830720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (157674409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2820 + ... + 17980.

Almost surely, 2^157674400 is an apocalyptic number.

157674400 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 157674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207279702).

157674400 is an abundant number, since it is smaller than the sum of its proper divisors (256885004).

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

157674400 is a wasteful number, since it uses less digits than its factorization.

157674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15194 (or 15181 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 157674400 is about 12556.8467379354. The cubic root of 157674400 is about 540.2404050741.

The spelling of 157674400 in words is "one hundred fifty-seven million, six hundred seventy-four thousand, four hundred".