133916958720 has 672 divisors, whose sum is σ = 506981764800. Its totient is φ = 33530314752.

The previous prime is 133916958701. The next prime is 133916958803. The reversal of 133916958720 is 27859619331.

133916958720 is a `hidden beast` number, since 1 + 3 + 39 + 1 + 6 + 9 + 587 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319610671 + ... + 319611089.

It is an arithmetic number, because the mean of its divisors is an integer number (754437150).

Almost surely, 2^133916958720 is an apocalyptic number.

133916958720 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 133916958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253490882400).

133916958720 is an abundant number, since it is smaller than the sum of its proper divisors (373064806080).

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

133916958720 is an equidigital number, since it uses as much as digits as its factorization.

133916958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 133916958720 in words is "one hundred thirty-three billion, nine hundred sixteen million, nine hundred fifty-eight thousand, seven hundred twenty".