132254400 has 168 divisors, whose sum is σ = 442203840. Its totient is φ = 34595840.

The previous prime is 132254389. The next prime is 132254411. The reversal of 132254400 is 4452231.

132254400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132254389) and next prime (132254411).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282967 + ... + 283433.

Almost surely, 2^132254400 is an apocalyptic number.

132254400 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 132254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221101920).

132254400 is an abundant number, since it is smaller than the sum of its proper divisors (309949440).

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

132254400 is a wasteful number, since it uses less digits than its factorization.

132254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 132254400 is about 11500.1913027567. The cubic root of 132254400 is about 509.4912265674.

The spelling of 132254400 in words is "one hundred thirty-two million, two hundred fifty-four thousand, four hundred".