137255201 has 4 divisors (see below), whose sum is σ = 137402004. Its totient is φ = 137108400.

The previous prime is 137255179. The next prime is 137255281. The reversal of 137255201 is 102552731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 102552731 = 47 ⋅2181973.

It can be written as a sum of positive squares in 2 ways, for example, as 51136801 + 86118400 = 7151^2 + 9280^2 .

It is a cyclic number.

It is not a de Polignac number, because 137255201 - 2¹⁸ = 136993057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137255281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71990 + ... + 73871.

It is an arithmetic number, because the mean of its divisors is an integer number (34350501).

Almost surely, 2^137255201 is an apocalyptic number.

It is an amenable number.

137255201 is a deficient number, since it is larger than the sum of its proper divisors (146803).

137255201 is an equidigital number, since it uses as much as digits as its factorization.

137255201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146802.

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 137255201 is about 11715.5964850280. The cubic root of 137255201 is about 515.8335713591.

The spelling of 137255201 in words is "one hundred thirty-seven million, two hundred fifty-five thousand, two hundred one".