133670783257088 has 960 divisors, whose sum is σ = 364256520376320. Its totient is φ = 48312623923200.

The previous prime is 133670783257079. The next prime is 133670783257091. The reversal of 133670783257088 is 880752387076331.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58448089481 + ... + 58448091767.

It is an arithmetic number, because the mean of its divisors is an integer number (379433875392).

Almost surely, 2^{133670783257088} 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 133670783257088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182128260188160).

133670783257088 is an abundant number, since it is smaller than the sum of its proper divisors (230585737119232).

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

133670783257088 is a wasteful number, since it uses less digits than its factorization.

133670783257088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 68.

The spelling of 133670783257088 in words is "one hundred thirty-three trillion, six hundred seventy billion, seven hundred eighty-three million, two hundred fifty-seven thousand, eighty-eight".