137735641 has 2 divisors, whose sum is σ = 137735642. Its totient is φ = 137735640.

The previous prime is 137735603. The next prime is 137735651. The reversal of 137735641 is 146537731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104142025 + 33593616 = 10205^2 + 5796^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137735641 is a prime.

It is a super-2 number, since 2×137735641² = 37942213603361762, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137735641.

It is not a weakly prime, because it can be changed into another prime (137735651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68867820 + 68867821.

It is an arithmetic number, because the mean of its divisors is an integer number (68867821).

Almost surely, 2^137735641 is an apocalyptic number.

It is an amenable number.

137735641 is a deficient number, since it is larger than the sum of its proper divisors (1).

137735641 is an equidigital number, since it uses as much as digits as its factorization.

137735641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52920, while the sum is 37.

The square root of 137735641 is about 11736.0828643973. The cubic root of 137735641 is about 516.4347349348.

The spelling of 137735641 in words is "one hundred thirty-seven million, seven hundred thirty-five thousand, six hundred forty-one".