137680047 has 16 divisors (see below), whose sum is σ = 212839680. Its totient is φ = 87795576.

The previous prime is 137680043. The next prime is 137680057. The reversal of 137680047 is 740086731.

137680047 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137680047 - 2² = 137680043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137679993 and 137680020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137680043) 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, 110233 + ... + 111474.

It is an arithmetic number, because the mean of its divisors is an integer number (13302480).

Almost surely, 2^137680047 is an apocalyptic number.

137680047 is a deficient number, since it is larger than the sum of its proper divisors (75159633).

137680047 is a wasteful number, since it uses less digits than its factorization.

137680047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221739 (or 221733 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 137680047 is about 11733.7141178742. The cubic root of 137680047 is about 516.3652430296.

The spelling of 137680047 in words is "one hundred thirty-seven million, six hundred eighty thousand, forty-seven".