137683547 has 2 divisors, whose sum is σ = 137683548. Its totient is φ = 137683546.

The previous prime is 137683501. The next prime is 137683571. The reversal of 137683547 is 745386731.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137683547 - 2¹⁶ = 137618011 is a prime.

It is a super-2 number, since 2×137683547² = 37913518229002418, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137683498 and 137683507.

It is not a weakly prime, because it can be changed into another prime (137683577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68841773 + 68841774.

It is an arithmetic number, because the mean of its divisors is an integer number (68841774).

Almost surely, 2^137683547 is an apocalyptic number.

137683547 is a deficient number, since it is larger than the sum of its proper divisors (1).

137683547 is an equidigital number, since it uses as much as digits as its factorization.

137683547 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 423360, while the sum is 44.

The square root of 137683547 is about 11733.8632598135. The cubic root of 137683547 is about 516.3696185439.

The spelling of 137683547 in words is "one hundred thirty-seven million, six hundred eighty-three thousand, five hundred forty-seven".