133696933920 has 432 divisors, whose sum is σ = 514349087616. Its totient is φ = 31362278400.

The previous prime is 133696933819. The next prime is 133696933957. The reversal of 133696933920 is 29339696331.

It is a happy number.

133696933920 is a `hidden beast` number, since 133 + 69 + 69 + 3 + 392 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15217849 + ... + 15226631.

It is an arithmetic number, because the mean of its divisors is an integer number (1190622888).

Almost surely, 2^133696933920 is an apocalyptic number.

133696933920 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 133696933920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257174543808).

133696933920 is an abundant number, since it is smaller than the sum of its proper divisors (380652153696).

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

133696933920 is a wasteful number, since it uses less digits than its factorization.

133696933920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8877 (or 8835 counting only the distinct ones).

The product of its (nonzero) digits is 4251528, while the sum is 54.

The spelling of 133696933920 in words is "one hundred thirty-three billion, six hundred ninety-six million, nine hundred thirty-three thousand, nine hundred twenty".