137712 has 40 divisors (see below), whose sum is σ = 376960. Its totient is φ = 43200.

The previous prime is 137707. The next prime is 137713. The reversal of 137712 is 217731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137713) by changing a digit.

137712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 837 + ... + 987.

It is an arithmetic number, because the mean of its divisors is an integer number (9424).

137712 is a Friedman number, since it can be written as 371^2+71, using all its digits and the basic arithmetic operations.

2¹³⁷⁷¹² is an apocalyptic number.

137712 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 137712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188480).

137712 is an abundant number, since it is smaller than the sum of its proper divisors (239248).

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

137712 is a wasteful number, since it uses less digits than its factorization.

137712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its digits is 294, while the sum is 21.

The square root of 137712 is about 371.0956749950. The cubic root of 137712 is about 51.6405186223.

The spelling of 137712 in words is "one hundred thirty-seven thousand, seven hundred twelve".