137000407 has 2 divisors, whose sum is σ = 137000408. Its totient is φ = 137000406.

The previous prime is 137000363. The next prime is 137000429. The reversal of 137000407 is 704000731.

It is an a-pointer prime, because the next prime (137000429) can be obtained adding 137000407 to its sum of digits (22).

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137000407 is a prime.

It is a super-2 number, since 2×137000407² = 37538223036331298, which contains 22 as substring.

137000407 is a modest number, since divided by 407 gives 137 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137000477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68500203 + 68500204.

It is an arithmetic number, because the mean of its divisors is an integer number (68500204).

Almost surely, 2^137000407 is an apocalyptic number.

137000407 is a deficient number, since it is larger than the sum of its proper divisors (1).

137000407 is an equidigital number, since it uses as much as digits as its factorization.

137000407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 137000407 is about 11704.7172968850. The cubic root of 137000407 is about 515.5141840436.

The spelling of 137000407 in words is "one hundred thirty-seven million, four hundred seven", and thus it is an aban number.