135317745 has 24 divisors (see below), whose sum is σ = 238980456. Its totient is φ = 70806528.

The previous prime is 135317731. The next prime is 135317761. The reversal of 135317745 is 547713531.

135317745 is a `hidden beast` number, since 13 + 531 + 77 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29062881 + 106254864 = 5391^2 + 10308^2 .

It is not a de Polignac number, because 135317745 - 2⁵ = 135317713 is a prime.

It is a super-3 number, since 3×135317745³ (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 23 ways as a sum of consecutive naturals, for example, 25984 + ... + 30753.

It is an arithmetic number, because the mean of its divisors is an integer number (9957519).

Almost surely, 2^135317745 is an apocalyptic number.

135317745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135317745 is a deficient number, since it is larger than the sum of its proper divisors (103662711).

135317745 is a wasteful number, since it uses less digits than its factorization.

135317745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56801 (or 56798 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 135317745 is about 11632.6155700255. The cubic root of 135317745 is about 513.3949399928.

It can be divided in two parts, 1353 and 17745, that multiplied together give a triangular number (24008985 = T₆₉₂₉).

The spelling of 135317745 in words is "one hundred thirty-five million, three hundred seventeen thousand, seven hundred forty-five".