137131248 has 80 divisors (see below), whose sum is σ = 377761536. Its totient is φ = 42716160.

The previous prime is 137131243. The next prime is 137131261. The reversal of 137131248 is 842131731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137131243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132493 + ... + 133523.

Almost surely, 2^137131248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137131248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188880768).

137131248 is an abundant number, since it is smaller than the sum of its proper divisors (240630288).

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

137131248 is a wasteful number, since it uses less digits than its factorization.

137131248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1216 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 137131248 is about 11710.3052052455. The cubic root of 137131248 is about 515.6782442134.

Adding to 137131248 its reverse (842131731), we get a palindrome (979262979).

The spelling of 137131248 in words is "one hundred thirty-seven million, one hundred thirty-one thousand, two hundred forty-eight".