132056064 has 264 divisors, whose sum is σ = 459838080. Its totient is φ = 35684352.

The previous prime is 132056059. The next prime is 132056069. The reversal of 132056064 is 460650231.

It is an interprime number because it is at equal distance from previous prime (132056059) and next prime (132056069).

It is not an unprimeable number, because it can be changed into a prime (132056069) 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 23 ways as a sum of consecutive naturals, for example, 1483732 + ... + 1483820.

Almost surely, 2^132056064 is an apocalyptic number.

132056064 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 132056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229919040).

132056064 is an abundant number, since it is smaller than the sum of its proper divisors (327782016).

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

132056064 is a wasteful number, since it uses less digits than its factorization.

132056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 132056064 is about 11491.5649064868. The cubic root of 132056064 is about 509.2364120896.

The spelling of 132056064 in words is "one hundred thirty-two million, fifty-six thousand, sixty-four".