133748858880000 has 3400 divisors, whose sum is σ = 615947943914688. Its totient is φ = 28155838464000.

The previous prime is 133748858879981. The next prime is 133748858880011. The reversal of 133748858880000 is 88858847331.

133748858880000 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 48 + 8 + 588 + 8 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 133748858880000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 301916159779 + ... + 301916160221.

Almost surely, 2^{133748858880000} is an apocalyptic number.

133748858880000 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 133748858880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307973971957344).

133748858880000 is an abundant number, since it is smaller than the sum of its proper divisors (482199085034688).

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

133748858880000 is an frugal number, since it uses more digits than its factorization.

133748858880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 133748858880000 in words is "one hundred thirty-three trillion, seven hundred forty-eight billion, eight hundred fifty-eight million, eight hundred eighty thousand".