133048921111680 has 1536 divisors, whose sum is σ = 507315221280000. Its totient is φ = 29563110162432.

The previous prime is 133048921111597. The next prime is 133048921111721. The reversal of 133048921111680 is 86111129840331.

133048921111680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 335135821242 + ... + 335135821638.

Almost surely, 2^{133048921111680} is an apocalyptic number.

133048921111680 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 133048921111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253657610640000).

133048921111680 is an abundant number, since it is smaller than the sum of its proper divisors (374266300168320).

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

133048921111680 is a wasteful number, since it uses less digits than its factorization.

133048921111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 133048921111680 in words is "one hundred thirty-three trillion, forty-eight billion, nine hundred twenty-one million, one hundred eleven thousand, six hundred eighty".