137172 has 48 divisors (see below), whose sum is σ = 387072. Its totient is φ = 36960.

The previous prime is 137153. The next prime is 137177. The reversal of 137172 is 271731.

137172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137177) by changing a digit.

137172 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 15 ways as a sum of consecutive naturals, for example, 1897 + ... + 1967.

It is an arithmetic number, because the mean of its divisors is an integer number (8064).

2¹³⁷¹⁷² is an apocalyptic number.

137172 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 137172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536).

137172 is an abundant number, since it is smaller than the sum of its proper divisors (249900).

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

137172 is a wasteful number, since it uses less digits than its factorization.

137172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 106 counting only the distinct ones).

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

The square root of 137172 is about 370.3673851732. The cubic root of 137172 is about 51.5729321408.

It can be divided in two parts, 1 and 37172, that added together give a palindrome (37173).

The spelling of 137172 in words is "one hundred thirty-seven thousand, one hundred seventy-two".