137610048 has 56 divisors (see below), whose sum is σ = 370990368. Its totient is φ = 45001216.

The previous prime is 137610047. The next prime is 137610059. The reversal of 137610048 is 840016731.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 137609997 and 137610024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137610041) 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, 3415 + ... + 16937.

It is an arithmetic number, because the mean of its divisors is an integer number (6624828).

Almost surely, 2^137610048 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 137610048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185495184).

137610048 is an abundant number, since it is smaller than the sum of its proper divisors (233380320).

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

137610048 is a wasteful number, since it uses less digits than its factorization.

137610048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13591 (or 13581 counting only the distinct ones).

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

The square root of 137610048 is about 11730.7309235188. The cubic root of 137610048 is about 516.2777184178.

Adding to 137610048 its reverse (840016731), we get a palindrome (977626779).

The spelling of 137610048 in words is "one hundred thirty-seven million, six hundred ten thousand, forty-eight".