137678231037307 has 64 divisors (see below), whose sum is σ = 147740618995200. Its totient is φ = 128066987059200.

The previous prime is 137678231037301. The next prime is 137678231037421. The reversal of 137678231037307 is 703730132876731.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137678231037307 is a prime.

It is a super-4 number, since 4×137678231037307⁴ (a number of 58 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137678231037301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33119610873 + ... + 33119615029.

It is an arithmetic number, because the mean of its divisors is an integer number (2308447171800).

Almost surely, 2^{137678231037307} is an apocalyptic number.

137678231037307 is a deficient number, since it is larger than the sum of its proper divisors (10062387957893).

137678231037307 is a wasteful number, since it uses less digits than its factorization.

137678231037307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356.

The product of its (nonzero) digits is 18670176, while the sum is 58.

The spelling of 137678231037307 in words is "one hundred thirty-seven trillion, six hundred seventy-eight billion, two hundred thirty-one million, thirty-seven thousand, three hundred seven".