157644800 has 72 divisors (see below), whose sum is σ = 390990600. Its totient is φ = 63037440.

The previous prime is 157644793. The next prime is 157644803. The reversal of 157644800 is 8446751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157644803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49661 + ... + 52739.

It is an arithmetic number, because the mean of its divisors is an integer number (5430425).

Almost surely, 2^157644800 is an apocalyptic number.

157644800 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 157644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195495300).

157644800 is an abundant number, since it is smaller than the sum of its proper divisors (233345800).

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

157644800 is an equidigital number, since it uses as much as digits as its factorization.

157644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 157644800 is about 12555.6680427606. The cubic root of 157644800 is about 540.2065967604.

The spelling of 157644800 in words is "one hundred fifty-seven million, six hundred forty-four thousand, eight hundred".