137412 has 36 divisors (see below), whose sum is σ = 380016. Its totient is φ = 41520.

The previous prime is 137399. The next prime is 137413. The reversal of 137412 is 214731.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (137413) by changing a digit.

137412 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 11 ways as a sum of consecutive naturals, for example, 223 + ... + 569.

It is an arithmetic number, because the mean of its divisors is an integer number (10556).

2¹³⁷⁴¹² is an apocalyptic number.

137412 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 137412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190008).

137412 is an abundant number, since it is smaller than the sum of its proper divisors (242604).

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

137412 is a wasteful number, since it uses less digits than its factorization.

137412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 363 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 137412 is about 370.6912461874. The cubic root of 137412 is about 51.6029924351.

The spelling of 137412 in words is "one hundred thirty-seven thousand, four hundred twelve".