133367901408 has 768 divisors, whose sum is σ = 500097024000. Its totient is φ = 33704294400.

The previous prime is 133367901397. The next prime is 133367901413. The reversal of 133367901408 is 804109763331.

It is a super-4 number, since 4×133367901408⁴ (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103305243 + ... + 103306533.

It is an arithmetic number, because the mean of its divisors is an integer number (651168000).

Almost surely, 2^133367901408 is an apocalyptic number.

133367901408 is a gapful number since it is divisible by the number (18) 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 133367901408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250048512000).

133367901408 is an abundant number, since it is smaller than the sum of its proper divisors (366729122592).

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

133367901408 is a wasteful number, since it uses less digits than its factorization.

133367901408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 133367901408 in words is "one hundred thirty-three billion, three hundred sixty-seven million, nine hundred one thousand, four hundred eight".