132946900 has 36 divisors (see below), whose sum is σ = 301043232. Its totient is φ = 50865760.

The previous prime is 132946811. The next prime is 132946901. The reversal of 132946900 is 9649231.

It is a super-2 number, since 2×132946900² = 35349756439220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132946901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26602 + ... + 31201.

It is an arithmetic number, because the mean of its divisors is an integer number (8362312).

Almost surely, 2^132946900 is an apocalyptic number.

132946900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132946900 is an abundant number, since it is smaller than the sum of its proper divisors (168096332).

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

132946900 is a wasteful number, since it uses less digits than its factorization.

132946900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57840 (or 57833 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 132946900 is about 11530.2601878709. The cubic root of 132946900 is about 510.3789315062.

The spelling of 132946900 in words is "one hundred thirty-two million, nine hundred forty-six thousand, nine hundred".