133902720 has 448 divisors, whose sum is σ = 561889440. Its totient is φ = 29859840.

The previous prime is 133902719. The next prime is 133902737. The reversal of 133902720 is 27209331.

133902720 is a `hidden beast` number, since 1 + 3 + 390 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 55 ways as a sum of consecutive naturals, for example, 3265900 + ... + 3265940.

Almost surely, 2^133902720 is an apocalyptic number.

133902720 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 133902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280944720).

133902720 is an abundant number, since it is smaller than the sum of its proper divisors (427986720).

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

133902720 is an frugal number, since it uses more digits than its factorization.

133902720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 133902720 is about 11571.6342838857. The cubic root of 133902720 is about 511.5991328401.

It can be divided in two parts, 13390 and 2720, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 133902720 in words is "one hundred thirty-three million, nine hundred two thousand, seven hundred twenty".