132641964 has 144 divisors (see below), whose sum is σ = 434586880. Its totient is φ = 33125760.

The previous prime is 132641953. The next prime is 132641981. The reversal of 132641964 is 469146231.

132641964 is a `hidden beast` number, since 1 + 3 + 2 + 641 + 9 + 6 + 4 = 666.

It is a super-2 number, since 2×132641964² = 35187781227554592, which contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61179 + ... + 63309.

Almost surely, 2^132641964 is an apocalyptic number.

132641964 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 132641964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217293440).

132641964 is an abundant number, since it is smaller than the sum of its proper divisors (301944916).

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

132641964 is a wasteful number, since it uses less digits than its factorization.

132641964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2175 counting only the distinct ones).

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

The square root of 132641964 is about 11517.0293044691. The cubic root of 132641964 is about 509.9884195756.

The spelling of 132641964 in words is "one hundred thirty-two million, six hundred forty-one thousand, nine hundred sixty-four".