132897600 has 252 divisors, whose sum is σ = 515904480. Its totient is φ = 32179200.

The previous prime is 132897593. The next prime is 132897601. The reversal of 132897600 is 6798231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132897601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 157981 + ... + 158819.

It is an arithmetic number, because the mean of its divisors is an integer number (2047240).

Almost surely, 2^132897600 is an apocalyptic number.

132897600 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 132897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257952240).

132897600 is an abundant number, since it is smaller than the sum of its proper divisors (383006880).

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

132897600 is a wasteful number, since it uses less digits than its factorization.

132897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 860 counting only the distinct ones).

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

The square root of 132897600 is about 11528.1221367576. The cubic root of 132897600 is about 510.3158366612.

The spelling of 132897600 in words is "one hundred thirty-two million, eight hundred ninety-seven thousand, six hundred".