137040829 has 2 divisors, whose sum is σ = 137040830. Its totient is φ = 137040828.

The previous prime is 137040823. The next prime is 137040887. The reversal of 137040829 is 928040731.

137040829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136188900 + 851929 = 11670^2 + 923^2 .

It is a cyclic number.

It is not a de Polignac number, because 137040829 - 2⁹ = 137040317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137040794 and 137040803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137040823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68520414 + 68520415.

It is an arithmetic number, because the mean of its divisors is an integer number (68520415).

Almost surely, 2^137040829 is an apocalyptic number.

It is an amenable number.

137040829 is a deficient number, since it is larger than the sum of its proper divisors (1).

137040829 is an equidigital number, since it uses as much as digits as its factorization.

137040829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 137040829 is about 11706.4439092322. The cubic root of 137040829 is about 515.5648799155.

The spelling of 137040829 in words is "one hundred thirty-seven million, forty thousand, eight hundred twenty-nine".