132625728 has 224 divisors, whose sum is σ = 421355520. Its totient is φ = 40803840.

The previous prime is 132625711. The next prime is 132625733. The reversal of 132625728 is 827526231.

132625728 is a `hidden beast` number, since 1 + 3 + 2 + 625 + 7 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132625692 and 132625701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1867933 + ... + 1868003.

Almost surely, 2^132625728 is an apocalyptic number.

132625728 is a gapful number since it is divisible by the number (18) 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 132625728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210677760).

132625728 is an abundant number, since it is smaller than the sum of its proper divisors (288729792).

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

132625728 is a wasteful number, since it uses less digits than its factorization.

132625728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 132625728 is about 11516.3244136313. The cubic root of 132625728 is about 509.9676103998.

The spelling of 132625728 in words is "one hundred thirty-two million, six hundred twenty-five thousand, seven hundred twenty-eight".