133900917696 has 448 divisors, whose sum is σ = 501208243200. Its totient is φ = 34095624192.

The previous prime is 133900917643. The next prime is 133900917719. The reversal of 133900917696 is 696719009331.

133900917696 is a `hidden beast` number, since 13 + 390 + 0 + 91 + 76 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4545511 + ... + 4574873.

It is an arithmetic number, because the mean of its divisors is an integer number (1118768400).

Almost surely, 2^133900917696 is an apocalyptic number.

133900917696 is a gapful number since it is divisible by the number (16) 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 133900917696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250604121600).

133900917696 is an abundant number, since it is smaller than the sum of its proper divisors (367307325504).

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

133900917696 is a wasteful number, since it uses less digits than its factorization.

133900917696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29433 (or 29417 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The spelling of 133900917696 in words is "one hundred thirty-three billion, nine hundred million, nine hundred seventeen thousand, six hundred ninety-six".