133339360 has 192 divisors, whose sum is σ = 400619520. Its totient is φ = 40734720.

The previous prime is 133339357. The next prime is 133339363. The reversal of 133339360 is 63933331.

It is an interprime number because it is at equal distance from previous prime (133339357) and next prime (133339363).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133339363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 973212 + ... + 973348.

It is an arithmetic number, because the mean of its divisors is an integer number (2086560).

Almost surely, 2^133339360 is an apocalyptic number.

133339360 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 133339360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200309760).

133339360 is an abundant number, since it is smaller than the sum of its proper divisors (267280160).

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

133339360 is a wasteful number, since it uses less digits than its factorization.

133339360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 31.

The square root of 133339360 is about 11547.2663431654. The cubic root of 133339360 is about 510.8806519656.

The spelling of 133339360 in words is "one hundred thirty-three million, three hundred thirty-nine thousand, three hundred sixty".