132798624 has 192 divisors, whose sum is σ = 421344000. Its totient is φ = 36578304.

The previous prime is 132798563. The next prime is 132798643. The reversal of 132798624 is 426897231.

132798624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1218282 + ... + 1218390.

It is an arithmetic number, because the mean of its divisors is an integer number (2194500).

Almost surely, 2^132798624 is an apocalyptic number.

132798624 is a gapful number since it is divisible by the number (14) 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 132798624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210672000).

132798624 is an abundant number, since it is smaller than the sum of its proper divisors (288545376).

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

132798624 is a wasteful number, since it uses less digits than its factorization.

132798624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 132798624 is about 11523.8285304841. The cubic root of 132798624 is about 510.1891186357.

The spelling of 132798624 in words is "one hundred thirty-two million, seven hundred ninety-eight thousand, six hundred twenty-four".