132866400 has 288 divisors, whose sum is σ = 472469760. Its totient is φ = 32327680.

The previous prime is 132866399. The next prime is 132866413. The reversal of 132866400 is 4668231.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1600759 + ... + 1600841.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2^132866400 is an apocalyptic number.

132866400 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 132866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236234880).

132866400 is an abundant number, since it is smaller than the sum of its proper divisors (339603360).

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

132866400 is a wasteful number, since it uses less digits than its factorization.

132866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 132866400 is about 11526.7688447370. The cubic root of 132866400 is about 510.2758983923.

The spelling of 132866400 in words is "one hundred thirty-two million, eight hundred sixty-six thousand, four hundred".