133613280 has 192 divisors, whose sum is σ = 473014080. Its totient is φ = 35223552.

The previous prime is 133613269. The next prime is 133613299. The reversal of 133613280 is 82316331.

It is a happy number.

133613280 is a `hidden beast` number, since 1 + 336 + 1 + 328 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678142 + ... + 678338.

It is an arithmetic number, because the mean of its divisors is an integer number (2463615).

Almost surely, 2^133613280 is an apocalyptic number.

133613280 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 133613280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236507040).

133613280 is an abundant number, since it is smaller than the sum of its proper divisors (339400800).

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

133613280 is a wasteful number, since it uses less digits than its factorization.

133613280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 133613280 is about 11559.1210738533. The cubic root of 133613280 is about 511.2302479402.

It can be divided in two parts, 13361 and 3280, that added together give a square (16641 = 129²).

The spelling of 133613280 in words is "one hundred thirty-three million, six hundred thirteen thousand, two hundred eighty".