137949 has 8 divisors (see below), whose sum is σ = 210240. Its totient is φ = 78816.

The previous prime is 137947. The next prime is 137957. The reversal of 137949 is 949731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137949 - 2¹ = 137947 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3264 + ... + 3305.

It is an arithmetic number, because the mean of its divisors is an integer number (26280).

137949 is a Friedman number, since it can be written as 7*3*(9^4+9-1), using all its digits and the basic arithmetic operations.

2¹³⁷⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

137949 is a deficient number, since it is larger than the sum of its proper divisors (72291).

137949 is an equidigital number, since it uses as much as digits as its factorization.

137949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6579.

The product of its digits is 6804, while the sum is 33.

The square root of 137949 is about 371.4148623844. The cubic root of 137949 is about 51.6701257945.

It can be divided in two parts, 1 and 37949, that added together give a triangular number (37950 = T₂₇₅).

The spelling of 137949 in words is "one hundred thirty-seven thousand, nine hundred forty-nine".