132397200 has 480 divisors, whose sum is σ = 542465280. Its totient is φ = 30412800.

The previous prime is 132397183. The next prime is 132397217. The reversal of 132397200 is 2793231.

It is an interprime number because it is at equal distance from previous prime (132397183) and next prime (132397217).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3229180 + ... + 3229220.

It is an arithmetic number, because the mean of its divisors is an integer number (1130136).

Almost surely, 2^132397200 is an apocalyptic number.

132397200 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 132397200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271232640).

132397200 is an abundant number, since it is smaller than the sum of its proper divisors (410068080).

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

132397200 is a wasteful number, since it uses less digits than its factorization.

132397200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

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

The square root of 132397200 is about 11506.3982201208. The cubic root of 132397200 is about 509.6745328249.

It can be divided in two parts, 1323 and 97200, that multiplied together give a square (128595600 = 11340²).

The spelling of 132397200 in words is "one hundred thirty-two million, three hundred ninety-seven thousand, two hundred".