137370240 has 192 divisors, whose sum is σ = 542280960. Its totient is φ = 31389696.

The previous prime is 137370199. The next prime is 137370253. The reversal of 137370240 is 42073731.

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

It is an unprimeable number.

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, 38617 + ... + 42023.

It is an arithmetic number, because the mean of its divisors is an integer number (2824380).

Almost surely, 2^137370240 is an apocalyptic number.

137370240 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 137370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271140480).

137370240 is an abundant number, since it is smaller than the sum of its proper divisors (404910720).

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

137370240 is a wasteful number, since it uses less digits than its factorization.

137370240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 137370240 is about 11720.5051085693. The cubic root of 137370240 is about 515.9776446057.

The spelling of 137370240 in words is "one hundred thirty-seven million, three hundred seventy thousand, two hundred forty".