137408870955409 has 9 divisors (see below), whose sum is σ = 137508264574929. Its totient is φ = 137309549153040.

The previous prime is 137408870955361. The next prime is 137408870955431. The reversal of 137408870955409 is 904559078804731.

The square root of 137408870955409 is 11722153.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 211503411025 + 137197367544384 = 459895^2 + 11713128^2 .

It is a de Polignac number, because none of the positive numbers 2^k-137408870955409 is a prime.

It is a super-3 number, since 3×137408870955409³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137408870955449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20408265007 + ... + 20408271739.

It is an arithmetic number, because the mean of its divisors is an integer number (15278696063881).

Almost surely, 2^{137408870955409} is an apocalyptic number.

137408870955409 is the 11722153-rd square number.

137408870955409 is the 5861077-th centered octagonal number.

It is an amenable number.

137408870955409 is a deficient number, since it is larger than the sum of its proper divisors (99393619520).

137408870955409 is an frugal number, since it uses more digits than its factorization.

137408870955409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16948 (or 8474 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 70.

The spelling of 137408870955409 in words is "one hundred thirty-seven trillion, four hundred eight billion, eight hundred seventy million, nine hundred fifty-five thousand, four hundred nine".