132690528 has 192 divisors, whose sum is σ = 417312000. Its totient is φ = 40891392.

The previous prime is 132690527. The next prime is 132690539. The reversal of 132690528 is 825096231.

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 = 132690492 and 132690501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132690521) by changing a digit.

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, 968476 + ... + 968612.

It is an arithmetic number, because the mean of its divisors is an integer number (2173500).

Almost surely, 2^132690528 is an apocalyptic number.

132690528 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 132690528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208656000).

132690528 is an abundant number, since it is smaller than the sum of its proper divisors (284621472).

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

132690528 is a wasteful number, since it uses less digits than its factorization.

132690528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 132690528 is about 11519.1374677100. The cubic root of 132690528 is about 510.0506524086.

The spelling of 132690528 in words is "one hundred thirty-two million, six hundred ninety thousand, five hundred twenty-eight".