137684232 has 128 divisors (see below), whose sum is σ = 447955200. Its totient is φ = 38361600.

The previous prime is 137684219. The next prime is 137684249. The reversal of 137684232 is 232486731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60882 + ... + 63102.

It is an arithmetic number, because the mean of its divisors is an integer number (3499650).

Almost surely, 2^137684232 is an apocalyptic number.

137684232 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 137684232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223977600).

137684232 is an abundant number, since it is smaller than the sum of its proper divisors (310270968).

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

137684232 is a wasteful number, since it uses less digits than its factorization.

137684232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2274 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 137684232 is about 11733.8924487998. The cubic root of 137684232 is about 516.3704748858.

The spelling of 137684232 in words is "one hundred thirty-seven million, six hundred eighty-four thousand, two hundred thirty-two".