132796800 has 384 divisors, whose sum is σ = 512244000. Its totient is φ = 33546240.

The previous prime is 132796793. The next prime is 132796813. The reversal of 132796800 is 8697231.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2505574 + ... + 2505626.

Almost surely, 2^132796800 is an apocalyptic number.

132796800 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 132796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256122000).

132796800 is an abundant number, since it is smaller than the sum of its proper divisors (379447200).

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

132796800 is a wasteful number, since it uses less digits than its factorization.

132796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 132796800 is about 11523.7493898470. The cubic root of 132796800 is about 510.1867827952.

The spelling of 132796800 in words is "one hundred thirty-two million, seven hundred ninety-six thousand, eight hundred".