157128000 has 112 divisors (see below), whose sum is σ = 518915904. Its totient is φ = 41894400.

The previous prime is 157127959. The next prime is 157128053. The reversal of 157128000 is 821751.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20727 + ... + 27273.

Almost surely, 2^157128000 is an apocalyptic number.

157128000 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 157128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259457952).

157128000 is an abundant number, since it is smaller than the sum of its proper divisors (361787904).

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

157128000 is an equidigital number, since it uses as much as digits as its factorization.

157128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6577 (or 6557 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 157128000 is about 12535.0708015551. The cubic root of 157128000 is about 539.6156386926.

Adding to 157128000 its reverse (821751), we get a palindrome (157949751).

The spelling of 157128000 in words is "one hundred fifty-seven million, one hundred twenty-eight thousand".