132893280000 has 1080 divisors, whose sum is σ = 534590376320. Its totient is φ = 31518720000.

The previous prime is 132893279963. The next prime is 132893280001. The reversal of 132893280000 is 82398231.

It is a happy number.

132893280000 is a `hidden beast` number, since 1 + 328 + 9 + 328 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132893280001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 580319886 + ... + 580320114.

Almost surely, 2^132893280000 is an apocalyptic number.

132893280000 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 132893280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267295188160).

132893280000 is an abundant number, since it is smaller than the sum of its proper divisors (401697096320).

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

132893280000 is a wasteful number, since it uses less digits than its factorization.

132893280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 132893280000 in words is "one hundred thirty-two billion, eight hundred ninety-three million, two hundred eighty thousand".