137013248 has 48 divisors (see below), whose sum is σ = 276412500. Its totient is φ = 67895296.

The previous prime is 137013229. The next prime is 137013287. The reversal of 137013248 is 842310731.

It can be written as a sum of positive squares in 2 ways, for example, as 133448704 + 3564544 = 11552^2 + 1888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 137013248.

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, 304928 + ... + 305376.

Almost surely, 2^137013248 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 137013248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138206250).

137013248 is an abundant number, since it is smaller than the sum of its proper divisors (139399252).

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

137013248 is an equidigital number, since it uses as much as digits as its factorization.

137013248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 137013248 is about 11705.2658235514. The cubic root of 137013248 is about 515.5302898615.

Adding to 137013248 its reverse (842310731), we get a palindrome (979323979).

The spelling of 137013248 in words is "one hundred thirty-seven million, thirteen thousand, two hundred forty-eight".