137276301951009 has 135 divisors (see below), whose sum is σ = 223521320900163. Its totient is φ = 83923487103456.

The previous prime is 137276301950987. The next prime is 137276301951011. The reversal of 137276301951009 is 900159103672731.

The square root of 137276301951009 is 11716497.

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

137276301951009 is a `hidden beast` number, since 1 + 37 + 27 + 63 + 0 + 19 + 510 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20307145259025 + 116969156691984 = 4506345^2 + 10815228^2 .

It is not a de Polignac number, because 137276301951009 - 2³⁹ = 136726546137121 is a prime.

It is a super-2 number, since 2×137276301951009² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137276301951049) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 327628405402 + ... + 327628405820.

Almost surely, 2^{137276301951009} is an apocalyptic number.

137276301951009 is the 11716497-th square number.

137276301951009 is the 5858249-th centered octagonal number.

It is an amenable number.

137276301951009 is a deficient number, since it is larger than the sum of its proper divisors (86245018949154).

137276301951009 is an frugal number, since it uses more digits than its factorization.

137276301951009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 137276301951009 in words is "one hundred thirty-seven trillion, two hundred seventy-six billion, three hundred one million, nine hundred fifty-one thousand, nine".