137305970 has 16 divisors (see below), whose sum is σ = 260159040. Its totient is φ = 52031664.

The previous prime is 137305963. The next prime is 137305979. The reversal of 137305970 is 79503731.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137305970.

It is not an unprimeable number, because it can be changed into a prime (137305979) 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, 361142 + ... + 361521.

It is an arithmetic number, because the mean of its divisors is an integer number (16259940).

Almost surely, 2^137305970 is an apocalyptic number.

137305970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137305970 is a deficient number, since it is larger than the sum of its proper divisors (122853070).

137305970 is a wasteful number, since it uses less digits than its factorization.

137305970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722689.

The product of its (nonzero) digits is 19845, while the sum is 35.

The square root of 137305970 is about 11717.7630117698. The cubic root of 137305970 is about 515.8971636702.

The spelling of 137305970 in words is "one hundred thirty-seven million, three hundred five thousand, nine hundred seventy".