135187586361 has 16 divisors (see below), whose sum is σ = 207184041600. Its totient is φ = 87017296464.

The previous prime is 135187586333. The next prime is 135187586389. The reversal of 135187586361 is 163685781531.

It is a happy number.

135187586361 is a `hidden beast` number, since 1 + 3 + 51 + 8 + 7 + 586 + 3 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (135187586333) and next prime (135187586389).

It is not a de Polignac number, because 135187586361 - 2²⁶ = 135120477497 is a prime.

It is a super-2 number, since 2×135187586361² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 135187586298 and 135187586307.

It is not an unprimeable number, because it can be changed into a prime (135187586321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86325901 + ... + 86327466.

It is an arithmetic number, because the mean of its divisors is an integer number (12949002600).

Almost surely, 2^135187586361 is an apocalyptic number.

It is an amenable number.

135187586361 is a deficient number, since it is larger than the sum of its proper divisors (71996455239).

135187586361 is a wasteful number, since it uses less digits than its factorization.

135187586361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172653405 (or 172653399 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 135187586361 in words is "one hundred thirty-five billion, one hundred eighty-seven million, five hundred eighty-six thousand, three hundred sixty-one".