137001398769 has 9 divisors (see below), whose sum is σ = 197892513273. Its totient is φ = 91333525572.

The previous prime is 137001398749. The next prime is 137001398827. The reversal of 137001398769 is 967893100731.

The square root of 137001398769 is 370137.

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

137001398769 is a `hidden beast` number, since 1 + 370 + 0 + 139 + 87 + 69 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 137001398769 - 2²¹ = 136999301617 is a prime.

It is a super-2 number, since 2×137001398769² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137001398749) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1048722 + ... + 1172100.

Almost surely, 2^137001398769 is an apocalyptic number.

137001398769 is the 370137-th square number.

137001398769 is the 185069-th centered octagonal number.

It is an amenable number.

137001398769 is a deficient number, since it is larger than the sum of its proper divisors (60891114504).

137001398769 is an frugal number, since it uses more digits than its factorization.

137001398769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246764 (or 123382 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 137001398769 in words is "one hundred thirty-seven billion, one million, three hundred ninety-eight thousand, seven hundred sixty-nine".