133902 has 24 divisors (see below), whose sum is σ = 298584. Its totient is φ = 43344.

The previous prime is 133877. The next prime is 133919. The reversal of 133902 is 209331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 688 + ... + 860.

It is an arithmetic number, because the mean of its divisors is an integer number (12441).

2¹³³⁹⁰² is an apocalyptic number.

133902 is an abundant number, since it is smaller than the sum of its proper divisors (164682).

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

133902 is a wasteful number, since it uses less digits than its factorization.

133902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 133902 is about 365.9262220722. The cubic root of 133902 is about 51.1598215876.

It can be divided in two parts, 133 and 902, that added together give a triangular number (1035 = T₄₅).

The spelling of 133902 in words is "one hundred thirty-three thousand, nine hundred two".