137535201 has 12 divisors (see below), whose sum is σ = 199098900. Its totient is φ = 91488480.

The previous prime is 137535163. The next prime is 137535241. The reversal of 137535201 is 102535731.

137535201 is a `hidden beast` number, since 137 + 5 + 3 + 520 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104530176 + 33005025 = 10224^2 + 5745^2 .

It is not a de Polignac number, because 137535201 - 2⁶ = 137535137 is a prime.

It is a super-2 number, since 2×137535201² = 37831863028220802, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137535241) 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 in 11 ways as a sum of consecutive naturals, for example, 12426 + ... + 20723.

It is an arithmetic number, because the mean of its divisors is an integer number (16591575).

Almost surely, 2^137535201 is an apocalyptic number.

It is an amenable number.

137535201 is a deficient number, since it is larger than the sum of its proper divisors (61563699).

137535201 is a wasteful number, since it uses less digits than its factorization.

137535201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33616 (or 33613 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 137535201 is about 11727.5402791890. The cubic root of 137535201 is about 516.1840991729.

The spelling of 137535201 in words is "one hundred thirty-seven million, five hundred thirty-five thousand, two hundred one".