137351258385407 has 16 divisors (see below), whose sum is σ = 153494223934464. Its totient is φ = 121817783160000.

The previous prime is 137351258385403. The next prime is 137351258385413. The reversal of 137351258385407 is 704583852153731.

It is a cyclic number.

It is not a de Polignac number, because 137351258385407 - 2² = 137351258385403 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137351258385407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137351258385403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35223032 + ... + 38927682.

It is an arithmetic number, because the mean of its divisors is an integer number (9593388995904).

Almost surely, 2^{137351258385407} is an apocalyptic number.

137351258385407 is a deficient number, since it is larger than the sum of its proper divisors (16142965549057).

137351258385407 is a wasteful number, since it uses less digits than its factorization.

137351258385407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786910.

The product of its (nonzero) digits is 84672000, while the sum is 62.

The spelling of 137351258385407 in words is "one hundred thirty-seven trillion, three hundred fifty-one billion, two hundred fifty-eight million, three hundred eighty-five thousand, four hundred seven".