132492800 has 120 divisors (see below), whose sum is σ = 358483752. Its totient is φ = 48128000.

The previous prime is 132492797. The next prime is 132492803. The reversal of 132492800 is 8294231.

It is an interprime number because it is at equal distance from previous prime (132492797) and next prime (132492803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132492803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140330 + ... + 141270.

Almost surely, 2^132492800 is an apocalyptic number.

132492800 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 132492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179241876).

132492800 is an abundant number, since it is smaller than the sum of its proper divisors (225990952).

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

132492800 is an equidigital number, since it uses as much as digits as its factorization.

132492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 132492800 is about 11510.5516809578. The cubic root of 132492800 is about 509.7971768145.

The spelling of 132492800 in words is "one hundred thirty-two million, four hundred ninety-two thousand, eight hundred".