157851120 has 160 divisors (see below), whose sum is σ = 592247808. Its totient is φ = 33951744.

The previous prime is 157851091. The next prime is 157851131. The reversal of 157851120 is 21158751.

157851120 is digitally balanced in base 2, 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25797 + ... + 31323.

Almost surely, 2^157851120 is an apocalyptic number.

157851120 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 157851120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296123904).

157851120 is an abundant number, since it is smaller than the sum of its proper divisors (434396688).

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

157851120 is a wasteful number, since it uses less digits than its factorization.

157851120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5567 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 30.

The square root of 157851120 is about 12563.8815658219. The cubic root of 157851120 is about 540.4421618565.

The spelling of 157851120 in words is "one hundred fifty-seven million, eight hundred fifty-one thousand, one hundred twenty".