137548 has 12 divisors (see below), whose sum is σ = 243432. Its totient is φ = 68000.

The previous prime is 137537. The next prime is 137567. The reversal of 137548 is 845731.

It is an unprimeable 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, 423 + ... + 673.

It is an arithmetic number, because the mean of its divisors is an integer number (20286).

2¹³⁷⁵⁴⁸ is an apocalyptic number.

It is an amenable number.

137548 is a deficient number, since it is larger than the sum of its proper divisors (105884).

137548 is a wasteful number, since it uses less digits than its factorization.

137548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 390 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 137548 is about 370.8746418940. The cubic root of 137548 is about 51.6200110675.

It can be divided in two parts, 137 and 548, that multiplied together give a square (75076 = 274²).

The spelling of 137548 in words is "one hundred thirty-seven thousand, five hundred forty-eight".