137413248 has 192 divisors, whose sum is σ = 434887200. Its totient is φ = 38320128.

The previous prime is 137413217. The next prime is 137413249. The reversal of 137413248 is 842314731.

137413248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137413249) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1260618 + ... + 1260726.

Almost surely, 2^137413248 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 137413248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217443600).

137413248 is an abundant number, since it is smaller than the sum of its proper divisors (297473952).

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

137413248 is a wasteful number, since it uses less digits than its factorization.

137413248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 137413248 is about 11722.3396982002. The cubic root of 137413248 is about 516.0314865709.

Adding to 137413248 its reverse (842314731), we get a palindrome (979727979).

The spelling of 137413248 in words is "one hundred thirty-seven million, four hundred thirteen thousand, two hundred forty-eight".