157460160 has 448 divisors, whose sum is σ = 622669824. Its totient is φ = 33177600.

The previous prime is 157460153. The next prime is 157460161. The reversal of 157460160 is 61064751.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (157460161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4255662 + ... + 4255698.

It is an arithmetic number, because the mean of its divisors is an integer number (1389888).

Almost surely, 2^157460160 is an apocalyptic number.

157460160 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 157460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311334912).

157460160 is an abundant number, since it is smaller than the sum of its proper divisors (465209664).

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

157460160 is a wasteful number, since it uses less digits than its factorization.

157460160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 157460160 is about 12548.3130340297. The cubic root of 157460160 is about 539.9956103896.

The spelling of 157460160 in words is "one hundred fifty-seven million, four hundred sixty thousand, one hundred sixty".