132733656720 has 960 divisors, whose sum is σ = 564254885376. Its totient is φ = 28307128320.

The previous prime is 132733656709. The next prime is 132733656743. The reversal of 132733656720 is 27656337231.

132733656720 is a `hidden beast` number, since 1 + 32 + 7 + 3 + 36 + 567 + 20 = 666.

It is a super-3 number, since 3×132733656720³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 418718002 + ... + 418718318.

Almost surely, 2^132733656720 is an apocalyptic number.

132733656720 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 132733656720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282127442688).

132733656720 is an abundant number, since it is smaller than the sum of its proper divisors (431521228656).

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

132733656720 is a wasteful number, since it uses less digits than its factorization.

132733656720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 132733656720 in words is "one hundred thirty-two billion, seven hundred thirty-three million, six hundred fifty-six thousand, seven hundred twenty".