137826629 has 2 divisors, whose sum is σ = 137826630. Its totient is φ = 137826628.

The previous prime is 137826617. The next prime is 137826631. The reversal of 137826629 is 926628731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95550625 + 42276004 = 9775^2 + 6502^2 .

It is a cyclic number.

It is not a de Polignac number, because 137826629 - 2²⁰ = 136778053 is a prime.

Together with 137826631, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137826629.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137826679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68913314 + 68913315.

It is an arithmetic number, because the mean of its divisors is an integer number (68913315).

Almost surely, 2^137826629 is an apocalyptic number.

It is an amenable number.

137826629 is a deficient number, since it is larger than the sum of its proper divisors (1).

137826629 is an equidigital number, since it uses as much as digits as its factorization.

137826629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 217728, while the sum is 44.

The square root of 137826629 is about 11739.9586455830. The cubic root of 137826629 is about 516.5484286263.

The spelling of 137826629 in words is "one hundred thirty-seven million, eight hundred twenty-six thousand, six hundred twenty-nine".