137842155441 has 9 divisors (see below), whose sum is σ = 199106944491. Its totient is φ = 91894027752.

The previous prime is 137842155397. The next prime is 137842155461. The reversal of 137842155441 is 144551248731.

The square root of 137842155441 is 371271.

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

137842155441 is a `hidden beast` number, since 1 + 3 + 7 + 84 + 21 + 5 + 544 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101286245025 + 36555910416 = 318255^2 + 191196^2 .

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

It is not a de Polignac number, because 137842155441 - 2⁷ = 137842155313 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137842155461) 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, 1051935 + ... + 1175691.

Almost surely, 2^137842155441 is an apocalyptic number.

137842155441 is the 371271-st square number.

137842155441 is the 185636-th centered octagonal number.

It is an amenable number.

137842155441 is a deficient number, since it is larger than the sum of its proper divisors (61264789050).

137842155441 is an frugal number, since it uses more digits than its factorization.

137842155441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247520 (or 123760 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 137842155441 in words is "one hundred thirty-seven billion, eight hundred forty-two million, one hundred fifty-five thousand, four hundred forty-one".