137082240 has 128 divisors (see below), whose sum is σ = 485560800. Its totient is φ = 36550656.

The previous prime is 137082191. The next prime is 137082241. The reversal of 137082240 is 42280731.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137082241) by changing a digit.

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, 13314 + ... + 21246.

Almost surely, 2^137082240 is an apocalyptic number.

137082240 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 137082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242780400).

137082240 is an abundant number, since it is smaller than the sum of its proper divisors (348478560).

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

137082240 is an equidigital number, since it uses as much as digits as its factorization.

137082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7961 (or 7943 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 137082240 is about 11708.2125023421. The cubic root of 137082240 is about 515.6168058202.

The spelling of 137082240 in words is "one hundred thirty-seven million, eighty-two thousand, two hundred forty".