132739200 has 288 divisors, whose sum is σ = 517935600. Its totient is φ = 32102400.

The previous prime is 132739157. The next prime is 132739207. The reversal of 132739200 is 2937231.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (132739207) 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, 316591 + ... + 317009.

Almost surely, 2^132739200 is an apocalyptic number.

132739200 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 132739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258967800).

132739200 is an abundant number, since it is smaller than the sum of its proper divisors (385196400).

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

132739200 is a wasteful number, since it uses less digits than its factorization.

132739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 132739200 is about 11521.2499321905. The cubic root of 132739200 is about 510.1130084058.

The spelling of 132739200 in words is "one hundred thirty-two million, seven hundred thirty-nine thousand, two hundred".