137286240 has 288 divisors, whose sum is σ = 542959200. Its totient is φ = 28901376.

The previous prime is 137286223. The next prime is 137286257. The reversal of 137286240 is 42682731.

It is an interprime number because it is at equal distance from previous prime (137286223) and next prime (137286257).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 305536 + ... + 305984.

It is an arithmetic number, because the mean of its divisors is an integer number (1885275).

Almost surely, 2^137286240 is an apocalyptic number.

137286240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271479600).

137286240 is an abundant number, since it is smaller than the sum of its proper divisors (405672960).

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

137286240 is a wasteful number, since it uses less digits than its factorization.

137286240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 479 counting only the distinct ones).

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

The square root of 137286240 is about 11716.9210972849. The cubic root of 137286240 is about 515.8724520993.

The spelling of 137286240 in words is "one hundred thirty-seven million, two hundred eighty-six thousand, two hundred forty".