133116480 has 448 divisors, whose sum is σ = 561807360. Its totient is φ = 29030400.

The previous prime is 133116439. The next prime is 133116493. The reversal of 133116480 is 84611331.

133116480 is a `hidden beast` number, since 1 + 3 + 3 + 11 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1874845 + ... + 1874915.

Almost surely, 2^133116480 is an apocalyptic number.

133116480 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 133116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280903680).

133116480 is an abundant number, since it is smaller than the sum of its proper divisors (428690880).

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

133116480 is a wasteful number, since it uses less digits than its factorization.

133116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 133116480 is about 11537.6115379224. The cubic root of 133116480 is about 510.5958433853.

It can be divided in two parts, 13311 and 6480, that added together give a palindrome (19791).

The spelling of 133116480 in words is "one hundred thirty-three million, one hundred sixteen thousand, four hundred eighty".