137892 has 12 divisors (see below), whose sum is σ = 321776. Its totient is φ = 45960.

The previous prime is 137873. The next prime is 137909. The reversal of 137892 is 298731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 1 + 3⁵ + 8 + 7 + 9⁴ + 2¹⁷ .

It is a plaindrome in base 15.

It is an unprimeable number.

137892 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 5734 + ... + 5757.

137892 is a Friedman number, since it can be written as 7*(3^9+8*2)-1, using all its digits and the basic arithmetic operations.

2¹³⁷⁸⁹² is an apocalyptic number.

137892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137892 is an abundant number, since it is smaller than the sum of its proper divisors (183884).

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

137892 is a wasteful number, since it uses less digits than its factorization.

137892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11498 (or 11496 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 137892 is about 371.3381208548. The cubic root of 137892 is about 51.6630081812.

The spelling of 137892 in words is "one hundred thirty-seven thousand, eight hundred ninety-two".