137339505 has 72 divisors (see below), whose sum is σ = 260881920. Its totient is φ = 66648960.

The previous prime is 137339473. The next prime is 137339507. The reversal of 137339505 is 505933731.

It is a happy number.

It is not a de Polignac number, because 137339505 - 2⁵ = 137339473 is a prime.

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 137339505.

It is not an unprimeable number, because it can be changed into a prime (137339507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 718960 + ... + 719150.

It is an arithmetic number, because the mean of its divisors is an integer number (3623360).

Almost surely, 2^137339505 is an apocalyptic number.

137339505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137339505 is a deficient number, since it is larger than the sum of its proper divisors (123542415).

137339505 is a wasteful number, since it uses less digits than its factorization.

137339505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 42525, while the sum is 36.

The square root of 137339505 is about 11719.1938715937. The cubic root of 137339505 is about 515.9391603950.

The spelling of 137339505 in words is "one hundred thirty-seven million, three hundred thirty-nine thousand, five hundred five".