132461160 has 256 divisors, whose sum is σ = 465696000. Its totient is φ = 29859840.

The previous prime is 132461137. The next prime is 132461167. The reversal of 132461160 is 61164231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132461160.

It is not an unprimeable number, because it can be changed into a prime (132461167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1215186 + ... + 1215294.

It is an arithmetic number, because the mean of its divisors is an integer number (1819125).

Almost surely, 2^132461160 is an apocalyptic number.

132461160 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 132461160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232848000).

132461160 is an abundant number, since it is smaller than the sum of its proper divisors (333234840).

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

132461160 is a wasteful number, since it uses less digits than its factorization.

132461160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 132461160 is about 11509.1772077764. The cubic root of 132461160 is about 509.7565928059.

The spelling of 132461160 in words is "one hundred thirty-two million, four hundred sixty-one thousand, one hundred sixty".