137463719121 has 27 divisors (see below), whose sum is σ = 201114868539. Its totient is φ = 90477548352.

The previous prime is 137463719119. The next prime is 137463719131. The reversal of 137463719121 is 121917364731.

The square root of 137463719121 is 370761.

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

137463719121 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 637 + 1 + 9 + 1 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29433176721 + 108030542400 = 171561^2 + 328680^2 .

It is not a de Polignac number, because 137463719121 - 2¹ = 137463719119 is a prime.

It is a super-3 number, since 3×137463719121³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (137463719101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 92318745 + ... + 92320233.

Almost surely, 2^137463719121 is an apocalyptic number.

137463719121 is the 370761-st square number.

137463719121 is the 185381-st centered octagonal number.

It is an amenable number.

137463719121 is a deficient number, since it is larger than the sum of its proper divisors (63651149418).

137463719121 is an frugal number, since it uses more digits than its factorization.

137463719121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 1575 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The spelling of 137463719121 in words is "one hundred thirty-seven billion, four hundred sixty-three million, seven hundred nineteen thousand, one hundred twenty-one".