137285137597041 has 144 divisors (see below), whose sum is σ = 250948360086528. Its totient is φ = 70743284409600.

The previous prime is 137285137597039. The next prime is 137285137597051. The reversal of 137285137597041 is 140795731582731.

It is a happy number.

137285137597041 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 8 + 5 + 1 + 37 + 597 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 137285137597041 - 2¹ = 137285137597039 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 137285137597041.

It is not an unprimeable number, because it can be changed into a prime (137285137597051) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41410935 + ... + 44603091.

Almost surely, 2^{137285137597041} is an apocalyptic number.

It is an amenable number.

137285137597041 is a deficient number, since it is larger than the sum of its proper divisors (113663222489487).

137285137597041 is a wasteful number, since it uses less digits than its factorization.

137285137597041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192300 (or 3192278 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 137285137597041 in words is "one hundred thirty-seven trillion, two hundred eighty-five billion, one hundred thirty-seven million, five hundred ninety-seven thousand, forty-one".