132933528 has 128 divisors (see below), whose sum is σ = 454540800. Its totient is φ = 35054208.

The previous prime is 132933527. The next prime is 132933569. The reversal of 132933528 is 825339231.

132933528 is a `hidden beast` number, since 13 + 293 + 352 + 8 = 666.

It is a super-3 number, since 3×132933528³ (a number of 25 digits) contains 333 as substring.

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 = 132933492 and 132933501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132933527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16275 + ... + 23037.

It is an arithmetic number, because the mean of its divisors is an integer number (3551100).

Almost surely, 2^132933528 is an apocalyptic number.

132933528 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 132933528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227270400).

132933528 is an abundant number, since it is smaller than the sum of its proper divisors (321607272).

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

132933528 is a wasteful number, since it uses less digits than its factorization.

132933528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6798 (or 6788 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 132933528 is about 11529.6803077969. The cubic root of 132933528 is about 510.3618193712.

The spelling of 132933528 in words is "one hundred thirty-two million, nine hundred thirty-three thousand, five hundred twenty-eight".