132465564 has 192 divisors, whose sum is σ = 453841920. Its totient is φ = 32348160.

The previous prime is 132465559. The next prime is 132465577. The reversal of 132465564 is 465564231.

132465564 is a `hidden beast` number, since 1 + 32 + 4 + 65 + 564 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140904 + ... + 141840.

It is an arithmetic number, because the mean of its divisors is an integer number (2363760).

Almost surely, 2^132465564 is an apocalyptic number.

132465564 is a gapful number since it is divisible by the number (14) 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 132465564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226920960).

132465564 is an abundant number, since it is smaller than the sum of its proper divisors (321376356).

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

132465564 is a wasteful number, since it uses less digits than its factorization.

132465564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 977 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 132465564 is about 11509.3685317658. The cubic root of 132465564 is about 509.7622421176.

The spelling of 132465564 in words is "one hundred thirty-two million, four hundred sixty-five thousand, five hundred sixty-four".