132116400 has 240 divisors, whose sum is σ = 506946720. Its totient is φ = 32486400.

The previous prime is 132116377. The next prime is 132116417. The reversal of 132116400 is 4611231.

It is a happy number.

132116400 is a `hidden beast` number, since 1 + 3 + 21 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 139930 + ... + 140870.

It is an arithmetic number, because the mean of its divisors is an integer number (2112278).

Almost surely, 2^132116400 is an apocalyptic number.

132116400 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 132116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253473360).

132116400 is an abundant number, since it is smaller than the sum of its proper divisors (374830320).

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

132116400 is a wasteful number, since it uses less digits than its factorization.

132116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 132116400 is about 11494.1898366088. The cubic root of 132116400 is about 509.3139564521.

Adding to 132116400 its reverse (4611231), we get a palindrome (136727631).

The spelling of 132116400 in words is "one hundred thirty-two million, one hundred sixteen thousand, four hundred".