133990753196520 has 3072 divisors, whose sum is σ = 568829952000000. Its totient is φ = 27688312995840.

The previous prime is 133990753196497. The next prime is 133990753196527. The reversal of 133990753196520 is 25691357099331.

133990753196520 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 9 + 0 + 7 + 531 + 96 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×133990753196520² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133990753196527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 268518543231 + ... + 268518543729.

It is an arithmetic number, because the mean of its divisors is an integer number (185166000000).

Almost surely, 2^{133990753196520} is an apocalyptic number.

133990753196520 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 133990753196520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284414976000000).

133990753196520 is an abundant number, since it is smaller than the sum of its proper divisors (434839198803480).

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

133990753196520 is a wasteful number, since it uses less digits than its factorization.

133990753196520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 41334300, while the sum is 63.

The spelling of 133990753196520 in words is "one hundred thirty-three trillion, nine hundred ninety billion, seven hundred fifty-three million, one hundred ninety-six thousand, five hundred twenty".