137748 has 24 divisors (see below), whose sum is σ = 346528. Its totient is φ = 42336.

The previous prime is 137743. The next prime is 137771. The reversal of 137748 is 847731.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 1 + 3⁹ + 7³ + 7⁶ + 4³ + 8 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137748.

It is not an unprimeable number, because it can be changed into a prime (137743) by changing a digit.

137748 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, 286 + ... + 597.

2¹³⁷⁷⁴⁸ is an apocalyptic number.

It is an amenable number.

137748 is an abundant number, since it is smaller than the sum of its proper divisors (208780).

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

137748 is a wasteful number, since it uses less digits than its factorization.

137748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 901 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 137748 is about 371.1441768370. The cubic root of 137748 is about 51.6450181012.

The spelling of 137748 in words is "one hundred thirty-seven thousand, seven hundred forty-eight".