157514960 has 40 divisors (see below), whose sum is σ = 368584296. Its totient is φ = 62599680.

The previous prime is 157514933. The next prime is 157514963. The reversal of 157514960 is 69415751.

157514960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26091664 + 131423296 = 5108^2 + 11464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157514963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6290 + ... + 18830.

Almost surely, 2^157514960 is an apocalyptic number.

157514960 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 157514960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184292148).

157514960 is an abundant number, since it is smaller than the sum of its proper divisors (211069336).

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

157514960 is a wasteful number, since it uses less digits than its factorization.

157514960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12711 (or 12705 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 157514960 is about 12550.4964045252. The cubic root of 157514960 is about 540.0582470320.

The spelling of 157514960 in words is "one hundred fifty-seven million, five hundred fourteen thousand, nine hundred sixty".