137540807 has 2 divisors, whose sum is σ = 137540808. Its totient is φ = 137540806.

The previous prime is 137540801. The next prime is 137540827. The reversal of 137540807 is 708045731.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 137540807 - 2⁶ = 137540743 is a prime.

It is a super-2 number, since 2×137540807² = 37834947180422498, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137540801) 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, 68770403 + 68770404.

It is an arithmetic number, because the mean of its divisors is an integer number (68770404).

Almost surely, 2^137540807 is an apocalyptic number.

137540807 is a deficient number, since it is larger than the sum of its proper divisors (1).

137540807 is an equidigital number, since it uses as much as digits as its factorization.

137540807 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 137540807 is about 11727.7792868045. The cubic root of 137540807 is about 516.1911123805.

The spelling of 137540807 in words is "one hundred thirty-seven million, five hundred forty thousand, eight hundred seven".