133367032381440 has 3264 divisors, whose sum is σ = 557058376949760. Its totient is φ = 26882384855040.

The previous prime is 133367032381379. The next prime is 133367032381469. The reversal of 133367032381440 is 44183230763331.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133367032381440.

It is a congruent number.

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, 798604984237 + ... + 798604984403.

Almost surely, 2^{133367032381440} is an apocalyptic number.

133367032381440 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 133367032381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278529188474880).

133367032381440 is an abundant number, since it is smaller than the sum of its proper divisors (423691344568320).

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

133367032381440 is a wasteful number, since it uses less digits than its factorization.

133367032381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 48.

The spelling of 133367032381440 in words is "one hundred thirty-three trillion, three hundred sixty-seven billion, thirty-two million, three hundred eighty-one thousand, four hundred forty".