132867504 has 240 divisors, whose sum is σ = 484683264. Its totient is φ = 32947200.

The previous prime is 132867503. The next prime is 132867517. The reversal of 132867504 is 405768231.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (132867503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254764 + ... + 255284.

Almost surely, 2^132867504 is an apocalyptic number.

132867504 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 132867504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242341632).

132867504 is an abundant number, since it is smaller than the sum of its proper divisors (351815760).

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

132867504 is a wasteful number, since it uses less digits than its factorization.

132867504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 567 counting only the distinct ones).

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

The square root of 132867504 is about 11526.8167331662. The cubic root of 132867504 is about 510.2773116993.

The spelling of 132867504 in words is "one hundred thirty-two million, eight hundred sixty-seven thousand, five hundred four".