137140346805 has 128 divisors (see below), whose sum is σ = 285801578496. Its totient is φ = 54489196800.

The previous prime is 137140346801. The next prime is 137140346909. The reversal of 137140346805 is 508643041731.

It is a happy number.

It is not a de Polignac number, because 137140346805 - 2² = 137140346801 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137140346801) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2948742 + ... + 2994888.

It is an arithmetic number, because the mean of its divisors is an integer number (2232824832).

Almost surely, 2^137140346805 is an apocalyptic number.

137140346805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137140346805 is an abundant number, since it is smaller than the sum of its proper divisors (148661231691).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137140346805 is a wasteful number, since it uses less digits than its factorization.

137140346805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46287.

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 137140346805 in words is "one hundred thirty-seven billion, one hundred forty million, three hundred forty-six thousand, eight hundred five".