132819960 has 128 divisors (see below), whose sum is σ = 490452480. Its totient is φ = 28021248.

The previous prime is 132819931. The next prime is 132820001. The reversal of 132819960 is 69918231.

It is a super-2 number, since 2×132819960² = 35282283548803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 4839 + ... + 17001.

It is an arithmetic number, because the mean of its divisors is an integer number (3831660).

Almost surely, 2^132819960 is an apocalyptic number.

132819960 is a gapful number since it is divisible by the number (10) 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 132819960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245226240).

132819960 is an abundant number, since it is smaller than the sum of its proper divisors (357632520).

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

132819960 is a wasteful number, since it uses less digits than its factorization.

132819960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12197 (or 12193 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 132819960 is about 11524.7542273144. The cubic root of 132819960 is about 510.2164402344.

The spelling of 132819960 in words is "one hundred thirty-two million, eight hundred nineteen thousand, nine hundred sixty".