132614964 has 36 divisors (see below), whose sum is σ = 349798176. Its totient is φ = 42282768.

The previous prime is 132614953. The next prime is 132614971. The reversal of 132614964 is 469416231.

132614964 is a `hidden beast` number, since 1 + 32 + 614 + 9 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×132614964⁴ (a number of 34 digits) contains 4444 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79254 + ... + 80909.

It is an arithmetic number, because the mean of its divisors is an integer number (9716616).

Almost surely, 2^132614964 is an apocalyptic number.

It is an amenable number.

132614964 is an abundant number, since it is smaller than the sum of its proper divisors (217183212).

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

132614964 is a wasteful number, since it uses less digits than its factorization.

132614964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160196 (or 160191 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 132614964 is about 11515.8570675395. The cubic root of 132614964 is about 509.9538135798.

It can be divided in two parts, 13261 and 4964, that added together give a square (18225 = 135²).

The spelling of 132614964 in words is "one hundred thirty-two million, six hundred fourteen thousand, nine hundred sixty-four".