133962917496408 has 5120 divisors, whose sum is σ = 576641286144000. Its totient is φ = 27916561612800.

The previous prime is 133962917496367. The next prime is 133962917496469. The reversal of 133962917496408 is 804694719269331.

133962917496408 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 6 + 2 + 91 + 7 + 496 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 1185512544160 + ... + 1185512544272.

It is an arithmetic number, because the mean of its divisors is an integer number (112625251200).

Almost surely, 2^{133962917496408} is an apocalyptic number.

133962917496408 is a gapful number since it is divisible by the number (18) 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 133962917496408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288320643072000).

133962917496408 is an abundant number, since it is smaller than the sum of its proper divisors (442678368647592).

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

133962917496408 is a wasteful number, since it uses less digits than its factorization.

133962917496408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 133962917496408 in words is "one hundred thirty-three trillion, nine hundred sixty-two billion, nine hundred seventeen million, four hundred ninety-six thousand, four hundred eight".