132349680 has 160 divisors (see below), whose sum is σ = 462827520. Its totient is φ = 34755840.

The previous prime is 132349661. The next prime is 132349717. The reversal of 132349680 is 86943231.

It is a super-2 number, since 2×132349680² = 35032875592204800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 152929 + ... + 153791.

It is an arithmetic number, because the mean of its divisors is an integer number (2892672).

Almost surely, 2^132349680 is an apocalyptic number.

132349680 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 132349680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231413760).

132349680 is an abundant number, since it is smaller than the sum of its proper divisors (330477840).

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

132349680 is a wasteful number, since it uses less digits than its factorization.

132349680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 944 counting only the distinct ones).

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

The square root of 132349680 is about 11504.3330967075. Note that the first 3 decimals coincide. The cubic root of 132349680 is about 509.6135480709.

The spelling of 132349680 in words is "one hundred thirty-two million, three hundred forty-nine thousand, six hundred eighty".