137258320 has 20 divisors (see below), whose sum is σ = 319125780. Its totient is φ = 54903296.

The previous prime is 137258267. The next prime is 137258347. The reversal of 137258320 is 23852731.

It can be written as a sum of positive squares in 2 ways, for example, as 71842576 + 65415744 = 8476^2 + 8088^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 857785 + ... + 857944.

It is an arithmetic number, because the mean of its divisors is an integer number (15956289).

Almost surely, 2^137258320 is an apocalyptic number.

137258320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137258320 is an abundant number, since it is smaller than the sum of its proper divisors (181867460).

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

137258320 is a wasteful number, since it uses less digits than its factorization.

137258320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715742 (or 1715736 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 137258320 is about 11715.7295974258. The cubic root of 137258320 is about 515.8374786129.

The spelling of 137258320 in words is "one hundred thirty-seven million, two hundred fifty-eight thousand, three hundred twenty".