133931246880 has 288 divisors, whose sum is σ = 458602651584. Its totient is φ = 32830930944.

The previous prime is 133931246851. The next prime is 133931246903. The reversal of 133931246880 is 88642139331.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5953734 + ... + 5976186.

It is an arithmetic number, because the mean of its divisors is an integer number (1592370318).

Almost surely, 2^133931246880 is an apocalyptic number.

133931246880 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 133931246880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229301325792).

133931246880 is an abundant number, since it is smaller than the sum of its proper divisors (324671404704).

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

133931246880 is a wasteful number, since it uses less digits than its factorization.

133931246880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22548 (or 22523 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 133931246880 in words is "one hundred thirty-three billion, nine hundred thirty-one million, two hundred forty-six thousand, eight hundred eighty".