133017760656 has 315 divisors, whose sum is σ = 426115352523. Its totient is φ = 40177114560.

The previous prime is 133017760621. The next prime is 133017760661. The reversal of 133017760656 is 656067710331.

The square root of 133017760656 is 364716.

It is a perfect power (a square), and thus also a powerful number.

133017760656 is a `hidden beast` number, since 1 + 3 + 30 + 1 + 7 + 7 + 606 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 433282455 + ... + 433282761.

Almost surely, 2^133017760656 is an apocalyptic number.

133017760656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

133017760656 is the 364716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133017760656

133017760656 is an abundant number, since it is smaller than the sum of its proper divisors (293097591867).

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

133017760656 is an frugal number, since it uses more digits than its factorization.

133017760656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 133017760656 in words is "one hundred thirty-three billion, seventeen million, seven hundred sixty thousand, six hundred fifty-six".