137638751 has 2 divisors, whose sum is σ = 137638752. Its totient is φ = 137638750.

The previous prime is 137638733. The next prime is 137638759. The reversal of 137638751 is 157836731.

137638751 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137638751 - 2¹⁸ = 137376607 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137638699 and 137638708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137638759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68819375 + 68819376.

It is an arithmetic number, because the mean of its divisors is an integer number (68819376).

Almost surely, 2^137638751 is an apocalyptic number.

137638751 is a deficient number, since it is larger than the sum of its proper divisors (1).

137638751 is an equidigital number, since it uses as much as digits as its factorization.

137638751 is an evil number, because the sum of its binary digits is even.

The product of its digits is 105840, while the sum is 41.

The square root of 137638751 is about 11731.9542702825. The cubic root of 137638751 is about 516.3136113617.

The spelling of 137638751 in words is "one hundred thirty-seven million, six hundred thirty-eight thousand, seven hundred fifty-one".