133345072 has 60 divisors (see below), whose sum is σ = 302100456. Its totient is φ = 56851200.

The previous prime is 133345067. The next prime is 133345087. The reversal of 133345072 is 270543331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 133345072.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221572 + ... + 222172.

Almost surely, 2^133345072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133345072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151050228).

133345072 is an abundant number, since it is smaller than the sum of its proper divisors (168755384).

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

133345072 is a wasteful number, since it uses less digits than its factorization.

133345072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 133345072 is about 11547.5136717823. The cubic root of 133345072 is about 510.8879469074.

The spelling of 133345072 in words is "one hundred thirty-three million, three hundred forty-five thousand, seventy-two".