157641200 has 60 divisors (see below), whose sum is σ = 390980928. Its totient is φ = 61017600.

The previous prime is 157641193. The next prime is 157641227. The reversal of 157641200 is 2146751.

157641200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 157641200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6044 + ... + 18756.

Almost surely, 2^157641200 is an apocalyptic number.

157641200 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 157641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195490464).

157641200 is an abundant number, since it is smaller than the sum of its proper divisors (233339728).

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

157641200 is a wasteful number, since it uses less digits than its factorization.

157641200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12762 (or 12751 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 157641200 is about 12555.5246803947. The cubic root of 157641200 is about 540.2024846498.

Adding to 157641200 its reverse (2146751), we get a palindrome (159787951).

The spelling of 157641200 in words is "one hundred fifty-seven million, six hundred forty-one thousand, two hundred".