137508214041 has 81 divisors (see below), whose sum is σ = 232270369149. Its totient is φ = 78317395200.

The previous prime is 137508214031. The next prime is 137508214079. The reversal of 137508214041 is 140412805731.

The square root of 137508214041 is 370821.

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

137508214041 is a `hidden beast` number, since 1 + 3 + 7 + 508 + 2 + 140 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45094646025 + 92413568016 = 212355^2 + 303996^2 .

It is not a de Polignac number, because 137508214041 - 2²³ = 137499825433 is a prime.

It is a super-3 number, since 3×137508214041³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137508213987 and 137508214005.

It is not an unprimeable number, because it can be changed into a prime (137508214021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 208030251 + ... + 208030911.

Almost surely, 2^137508214041 is an apocalyptic number.

137508214041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137508214041 is the 370821-st square number.

137508214041 is the 185411-st centered octagonal number.

It is an amenable number.

137508214041 is a deficient number, since it is larger than the sum of its proper divisors (94762155108).

137508214041 is an equidigital number, since it uses as much as digits as its factorization.

137508214041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Multiplying 137508214041 by its sum of digits (36), we get a square (4950295705476 = 2224926²).

The spelling of 137508214041 in words is "one hundred thirty-seven billion, five hundred eight million, two hundred fourteen thousand, forty-one".