133380656640 has 1280 divisors, whose sum is σ = 622245888000. Its totient is φ = 26236846080.

The previous prime is 133380656557. The next prime is 133380656653. The reversal of 133380656640 is 46656083331.

133380656640 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 80 + 6 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101121901 + ... + 101123219.

It is an arithmetic number, because the mean of its divisors is an integer number (486129600).

Almost surely, 2^133380656640 is an apocalyptic number.

133380656640 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 133380656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311122944000).

133380656640 is an abundant number, since it is smaller than the sum of its proper divisors (488865231360).

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

133380656640 is a wasteful number, since it uses less digits than its factorization.

133380656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 133380656640 in words is "one hundred thirty-three billion, three hundred eighty million, six hundred fifty-six thousand, six hundred forty".