133656072 has 64 divisors (see below), whose sum is σ = 365817600. Its totient is φ = 40357440.

The previous prime is 133656067. The next prime is 133656073. The reversal of 133656072 is 270656331.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (133656073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90879 + ... + 92337.

It is an arithmetic number, because the mean of its divisors is an integer number (5715900).

Almost surely, 2^133656072 is an apocalyptic number.

133656072 is a gapful number since it is divisible by the number (12) 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 133656072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182908800).

133656072 is an abundant number, since it is smaller than the sum of its proper divisors (232161528).

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

133656072 is a wasteful number, since it uses less digits than its factorization.

133656072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 133656072 is about 11560.9719314597. The cubic root of 133656072 is about 511.2848189372.

The spelling of 133656072 in words is "one hundred thirty-three million, six hundred fifty-six thousand, seventy-two".