137413743680 has 28 divisors (see below), whose sum is σ = 327216477900. Its totient is φ = 54965497344.

The previous prime is 137413743673. The next prime is 137413743713. The reversal of 137413743680 is 86347314731.

It can be written as a sum of positive squares in 2 ways, for example, as 58529157184 + 78884586496 = 241928^2 + 280864^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 214708655 + ... + 214709294.

Almost surely, 2^137413743680 is an apocalyptic number.

137413743680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137413743680 is an abundant number, since it is smaller than the sum of its proper divisors (189802734220).

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

137413743680 is an equidigital number, since it uses as much as digits as its factorization.

137413743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429417966 (or 429417956 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 47.

The spelling of 137413743680 in words is "one hundred thirty-seven billion, four hundred thirteen million, seven hundred forty-three thousand, six hundred eighty".