132291900 has 144 divisors (see below), whose sum is σ = 458130400. Its totient is φ = 32555520.

The previous prime is 132291847. The next prime is 132291937. The reversal of 132291900 is 9192231.

It is a super-2 number, since 2×132291900² = 35002293611220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 33216 + ... + 36984.

Almost surely, 2^132291900 is an apocalyptic number.

132291900 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 132291900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229065200).

132291900 is an abundant number, since it is smaller than the sum of its proper divisors (325838500).

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

132291900 is a wasteful number, since it uses less digits than its factorization.

132291900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 132291900 is about 11501.8215948605. The cubic root of 132291900 is about 509.5393764853.

It can be divided in two parts, 13229 and 1900, that added together give a square (15129 = 123²).

The spelling of 132291900 in words is "one hundred thirty-two million, two hundred ninety-one thousand, nine hundred".