133916480 has 112 divisors (see below), whose sum is σ = 342351360. Its totient is φ = 49717248.

The previous prime is 133916479. The next prime is 133916483. The reversal of 133916480 is 84619331.

It is a self number, because there is not a number n which added to its sum of digits gives 133916480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133916483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 560201 + ... + 560439.

Almost surely, 2^133916480 is an apocalyptic number.

133916480 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 133916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171175680).

133916480 is an abundant number, since it is smaller than the sum of its proper divisors (208434880).

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

133916480 is a wasteful number, since it uses less digits than its factorization.

133916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 133916480 is about 11572.2288259436. The cubic root of 133916480 is about 511.6166564148.

The spelling of 133916480 in words is "one hundred thirty-three million, nine hundred sixteen thousand, four hundred eighty".