132617880 has 96 divisors (see below), whose sum is σ = 432572400. Its totient is φ = 35236608.

The previous prime is 132617861. The next prime is 132617887. The reversal of 132617880 is 88716231.

132617880 is a `hidden beast` number, since 1 + 32 + 617 + 8 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132617887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139567 + ... + 140513.

Almost surely, 2^132617880 is an apocalyptic number.

132617880 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 132617880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216286200).

132617880 is an abundant number, since it is smaller than the sum of its proper divisors (299954520).

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

132617880 is a wasteful number, since it uses less digits than its factorization.

132617880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 132617880 is about 11515.9836748755. The cubic root of 132617880 is about 509.9575512536.

The spelling of 132617880 in words is "one hundred thirty-two million, six hundred seventeen thousand, eight hundred eighty".