157871520 has 144 divisors (see below), whose sum is σ = 570515400. Its totient is φ = 39616512.

The previous prime is 157871501. The next prime is 157871569. The reversal of 157871520 is 25178751.

157871520 is a `hidden beast` number, since 1 + 57 + 87 + 1 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 157854096 + 17424 = 12564^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×157871520² = 49846833654220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21256 + ... + 27704.

Almost surely, 2^157871520 is an apocalyptic number.

157871520 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 157871520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285257700).

157871520 is an abundant number, since it is smaller than the sum of its proper divisors (412643880).

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

157871520 is a wasteful number, since it uses less digits than its factorization.

157871520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6487 (or 6476 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 157871520 is about 12564.6933906085. The cubic root of 157871520 is about 540.4654423273.

The spelling of 157871520 in words is "one hundred fifty-seven million, eight hundred seventy-one thousand, five hundred twenty".