157133520 has 240 divisors, whose sum is σ = 560589120. Its totient is φ = 40891392.

The previous prime is 157133503. The next prime is 157133527. The reversal of 157133520 is 25331751.

157133520 is a `hidden beast` number, since 1 + 5 + 7 + 133 + 520 = 666.

157133520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157133527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1146892 + ... + 1147028.

It is an arithmetic number, because the mean of its divisors is an integer number (2335788).

Almost surely, 2^157133520 is an apocalyptic number.

157133520 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 157133520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280294560).

157133520 is an abundant number, since it is smaller than the sum of its proper divisors (403455600).

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

157133520 is a wasteful number, since it uses less digits than its factorization.

157133520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 157133520 is about 12535.2909818640. The cubic root of 157133520 is about 539.6219576247.

The spelling of 157133520 in words is "one hundred fifty-seven million, one hundred thirty-three thousand, five hundred twenty".