137802132 has 72 divisors (see below), whose sum is σ = 376512864. Its totient is φ = 42244416.

The previous prime is 137802121. The next prime is 137802163. The reversal of 137802132 is 231208731.

It is a junction number, because it is equal to n+sod(n) for n = 137802096 and 137802105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244483 + ... + 245045.

Almost surely, 2^137802132 is an apocalyptic number.

137802132 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 137802132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188256432).

137802132 is an abundant number, since it is smaller than the sum of its proper divisors (238710732).

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

137802132 is a wasteful number, since it uses less digits than its factorization.

137802132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 137802132 is about 11738.9152820863. The cubic root of 137802132 is about 516.5178234215.

The spelling of 137802132 in words is "one hundred thirty-seven million, eight hundred two thousand, one hundred thirty-two".