137268340 has 24 divisors (see below), whose sum is σ = 314469792. Its totient is φ = 49915680.

The previous prime is 137268337. The next prime is 137268343. The reversal of 137268340 is 43862731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (137268337) and next prime (137268343).

It is a junction number, because it is equal to n+sod(n) for n = 137268296 and 137268305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137268343) 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, 311754 + ... + 312193.

It is an arithmetic number, because the mean of its divisors is an integer number (13102908).

Almost surely, 2^137268340 is an apocalyptic number.

137268340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137268340 is an abundant number, since it is smaller than the sum of its proper divisors (177201452).

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

137268340 is a wasteful number, since it uses less digits than its factorization.

137268340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623967 (or 623965 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 137268340 is about 11716.1572198396. The cubic root of 137268340 is about 515.8500305315.

The spelling of 137268340 in words is "one hundred thirty-seven million, two hundred sixty-eight thousand, three hundred forty".