135317610 has 24 divisors (see below), whose sum is σ = 351826020. Its totient is φ = 36084672.

The previous prime is 135317597. The next prime is 135317641. The reversal of 135317610 is 16713531.

135317610 is a `hidden beast` number, since 1 + 35 + 3 + 17 + 610 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128799801 + 6517809 = 11349^2 + 2553^2 .

It is a super-3 number, since 3×135317610³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 751675 + ... + 751854.

Almost surely, 2^135317610 is an apocalyptic number.

135317610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135317610 is an abundant number, since it is smaller than the sum of its proper divisors (216508410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135317610 is a wasteful number, since it uses less digits than its factorization.

135317610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503542 (or 1503539 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 135317610 is about 11632.6097673738. The cubic root of 135317610 is about 513.3947692629.

The spelling of 135317610 in words is "one hundred thirty-five million, three hundred seventeen thousand, six hundred ten".