132330955236480 has 6144 divisors, whose sum is σ = 691545104409600. Its totient is φ = 23419032698880.

The previous prime is 132330955236461. The next prime is 132330955236563. The reversal of 132330955236480 is 84632559033231.

132330955236480 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 3 + 0 + 9 + 552 + 3 + 6 + 4 + 80 = 666.

It is a super-3 number, since 3×132330955236480³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 109093944354 + ... + 109093945566.

Almost surely, 2^{132330955236480} is an apocalyptic number.

132330955236480 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 132330955236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345772552204800).

132330955236480 is an abundant number, since it is smaller than the sum of its proper divisors (559214149173120).

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

132330955236480 is a wasteful number, since it uses less digits than its factorization.

132330955236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 132330955236480 in words is "one hundred thirty-two trillion, three hundred thirty billion, nine hundred fifty-five million, two hundred thirty-six thousand, four hundred eighty".