132763200 has 168 divisors, whose sum is σ = 461479392. Its totient is φ = 33300480.

The previous prime is 132763193. The next prime is 132763201. The reversal of 132763200 is 2367231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (132763201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80787 + ... + 82413.

Almost surely, 2^132763200 is an apocalyptic number.

132763200 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 132763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230739696).

132763200 is an abundant number, since it is smaller than the sum of its proper divisors (328716192).

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

132763200 is a wasteful number, since it uses less digits than its factorization.

132763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 132763200 is about 11522.2914387721. The cubic root of 132763200 is about 510.1437503279.

The spelling of 132763200 in words is "one hundred thirty-two million, seven hundred sixty-three thousand, two hundred".