133338720 has 48 divisors (see below), whose sum is σ = 420018480. Its totient is φ = 35556864.

The previous prime is 133338679. The next prime is 133338721. The reversal of 133338720 is 27833331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133338721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138415 + ... + 139374.

It is an arithmetic number, because the mean of its divisors is an integer number (8750385).

Almost surely, 2^133338720 is an apocalyptic number.

133338720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133338720 is an abundant number, since it is smaller than the sum of its proper divisors (286679760).

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

133338720 is a wasteful number, since it uses less digits than its factorization.

133338720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277807 (or 277799 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 133338720 is about 11547.2386309455. The cubic root of 133338720 is about 510.8798345922.

The spelling of 133338720 in words is "one hundred thirty-three million, three hundred thirty-eight thousand, seven hundred twenty".