137198843402481 has 81 divisors (see below), whose sum is σ = 231182529604299. Its totient is φ = 78178522010400.

The previous prime is 137198843402449. The next prime is 137198843402483. The reversal of 137198843402481 is 184204348891731.

The square root of 137198843402481 is 11713191.

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

137198843402481 is a `hidden beast` number, since 1 + 3 + 7 + 198 + 8 + 4 + 340 + 24 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54508556106081 + 82690287296400 = 7382991^2 + 9093420^2 .

It is not a de Polignac number, because 137198843402481 - 2⁵ = 137198843402449 is a prime.

It is a super-2 number, since 2×137198843402481² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (137198843402483) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 133073562436 + ... + 133073563466.

Almost surely, 2^{137198843402481} is an apocalyptic number.

137198843402481 is the 11713191-st square number.

137198843402481 is the 5856596-th centered octagonal number.

It is an amenable number.

137198843402481 is a deficient number, since it is larger than the sum of its proper divisors (93983686201818).

137198843402481 is an frugal number, since it uses more digits than its factorization.

137198843402481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 137198843402481 in words is "one hundred thirty-seven trillion, one hundred ninety-eight billion, eight hundred forty-three million, four hundred two thousand, four hundred eighty-one".