132746900 has 72 divisors (see below), whose sum is σ = 338457504. Its totient is φ = 44553600.

The previous prime is 132746893. The next prime is 132746903. The reversal of 132746900 is 9647231.

It is a super-2 number, since 2×132746900² = 35243478919220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132746903) 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, 9659 + ... + 18941.

Almost surely, 2^132746900 is an apocalyptic number.

132746900 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 132746900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169228752).

132746900 is an abundant number, since it is smaller than the sum of its proper divisors (205710604).

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

132746900 is a wasteful number, since it uses less digits than its factorization.

132746900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9321 (or 9314 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 132746900 is about 11521.5840924762. The cubic root of 132746900 is about 510.1228718429.

The spelling of 132746900 in words is "one hundred thirty-two million, seven hundred forty-six thousand, nine hundred".