133688880000 has 1440 divisors, whose sum is σ = 561236315640. Its totient is φ = 31477248000.

The previous prime is 133688879993. The next prime is 133688880019. The reversal of 133688880000 is 88886331.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 179 ways as a sum of consecutive naturals, for example, 5812559989 + ... + 5812560011.

Almost surely, 2^133688880000 is an apocalyptic number.

133688880000 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 133688880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280618157820).

133688880000 is an abundant number, since it is smaller than the sum of its proper divisors (427547435640).

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

133688880000 is an frugal number, since it uses more digits than its factorization.

133688880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 133688880000 in words is "one hundred thirty-three billion, six hundred eighty-eight million, eight hundred eighty thousand".