133651117656 has 192 divisors, whose sum is σ = 427435008000. Its totient is φ = 36918892800.

The previous prime is 133651117619. The next prime is 133651117681. The reversal of 133651117656 is 656711156331.

133651117656 is a `hidden beast` number, since 13 + 3 + 6 + 511 + 1 + 76 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19229670 + ... + 19236618.

It is an arithmetic number, because the mean of its divisors is an integer number (2226224000).

Almost surely, 2^133651117656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133651117656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213717504000).

133651117656 is an abundant number, since it is smaller than the sum of its proper divisors (293783890344).

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

133651117656 is a wasteful number, since it uses less digits than its factorization.

133651117656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8230 (or 8223 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The spelling of 133651117656 in words is "one hundred thirty-three billion, six hundred fifty-one million, one hundred seventeen thousand, six hundred fifty-six".