137411268 has 48 divisors (see below), whose sum is σ = 344709120. Its totient is φ = 42466464.

The previous prime is 137411201. The next prime is 137411279. The reversal of 137411268 is 862114731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4305 + ... + 17127.

It is an arithmetic number, because the mean of its divisors is an integer number (7181440).

Almost surely, 2^137411268 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 137411268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172354560).

137411268 is an abundant number, since it is smaller than the sum of its proper divisors (207297852).

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

137411268 is a wasteful number, since it uses less digits than its factorization.

137411268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12896 (or 12894 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 137411268 is about 11722.2552437660. The cubic root of 137411268 is about 516.0290080441.

Adding to 137411268 its reverse (862114731), we get a palindrome (999525999).

The spelling of 137411268 in words is "one hundred thirty-seven million, four hundred eleven thousand, two hundred sixty-eight".