137327232 has 128 divisors (see below), whose sum is σ = 426147840. Its totient is φ = 38366208.

The previous prime is 137327221. The next prime is 137327233. The reversal of 137327232 is 232723731.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 137327232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137327233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125793 + ... + 126879.

It is an arithmetic number, because the mean of its divisors is an integer number (3329280).

Almost surely, 2^137327232 is an apocalyptic number.

137327232 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 137327232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213073920).

137327232 is an abundant number, since it is smaller than the sum of its proper divisors (288820608).

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

137327232 is a wasteful number, since it uses less digits than its factorization.

137327232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1146 counting only the distinct ones).

The product of its digits is 10584, while the sum is 30.

The square root of 137327232 is about 11718.6702317285. The cubic root of 137327232 is about 515.9237914013.

The spelling of 137327232 in words is "one hundred thirty-seven million, three hundred twenty-seven thousand, two hundred thirty-two".