137219125761 has 45 divisors (see below), whose sum is σ = 208008452883. Its totient is φ = 90148088160.

The previous prime is 137219125717. The next prime is 137219125763. The reversal of 137219125761 is 167521912731.

The square root of 137219125761 is 370431.

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

137219125761 is a `hidden beast` number, since 1 + 3 + 72 + 1 + 9 + 1 + 2 + 576 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39350260161 + 97868865600 = 198369^2 + 312840^2 .

It is not a de Polignac number, because 137219125761 - 2¹³ = 137219117569 is a prime.

It is a super-2 number, since 2×137219125761² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137219125763) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 263376181 + ... + 263376701.

Almost surely, 2^137219125761 is an apocalyptic number.

137219125761 is the 370431-st square number.

137219125761 is the 185216-th centered octagonal number.

It is an amenable number.

137219125761 is a deficient number, since it is larger than the sum of its proper divisors (70789327122).

137219125761 is an frugal number, since it uses more digits than its factorization.

137219125761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 603 counting only the distinct ones).

The product of its digits is 158760, while the sum is 45.

The spelling of 137219125761 in words is "one hundred thirty-seven billion, two hundred nineteen million, one hundred twenty-five thousand, seven hundred sixty-one".