137261801 has 2 divisors, whose sum is σ = 137261802. Its totient is φ = 137261800.

The previous prime is 137261767. The next prime is 137261819. The reversal of 137261801 is 108162731.

137261801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134003776 + 3258025 = 11576^2 + 1805^2 .

It is an emirp because it is prime and its reverse (108162731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137261801 - 2⁶ = 137261737 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (137261821) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68630900 + 68630901.

It is an arithmetic number, because the mean of its divisors is an integer number (68630901).

Almost surely, 2^137261801 is an apocalyptic number.

137261801 is the 5240-th centered decagonal number.

It is an amenable number.

137261801 is a deficient number, since it is larger than the sum of its proper divisors (1).

137261801 is an equidigital number, since it uses as much as digits as its factorization.

137261801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 137261801 is about 11715.8781574409. The cubic root of 137261801 is about 515.8418392838.

The spelling of 137261801 in words is "one hundred thirty-seven million, two hundred sixty-one thousand, eight hundred one".