137832 has 16 divisors (see below), whose sum is σ = 344640. Its totient is φ = 45936.

The previous prime is 137831. The next prime is 137849. The reversal of 137832 is 238731.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 5743 = 137832 / (1 + 3 + 7 + 8 + 3 + 2).

It is not an unprimeable number, because it can be changed into a prime (137831) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2848 + ... + 2895.

It is an arithmetic number, because the mean of its divisors is an integer number (21540).

2¹³⁷⁸³² is an apocalyptic number.

137832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137832 is an abundant number, since it is smaller than the sum of its proper divisors (206808).

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

137832 is a wasteful number, since it uses less digits than its factorization.

137832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5752 (or 5748 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 137832 is about 371.2573231601. The cubic root of 137832 is about 51.6555138374.

It can be divided in two parts, 137 and 832, that added together give a palindrome (969).

The spelling of 137832 in words is "one hundred thirty-seven thousand, eight hundred thirty-two".