135903645 has 24 divisors (see below), whose sum is σ = 237159000. Its totient is φ = 71991936.

The previous prime is 135903641. The next prime is 135903673. The reversal of 135903645 is 546309531.

135903645 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 0 + 3 + 645 = 666.

135903645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8191044 + 127712601 = 2862^2 + 11301^2 .

It is not a de Polignac number, because 135903645 - 2² = 135903641 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135903641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3430 + ... + 16839.

It is an arithmetic number, because the mean of its divisors is an integer number (9881625).

Almost surely, 2^135903645 is an apocalyptic number.

135903645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135903645 is a deficient number, since it is larger than the sum of its proper divisors (101255355).

135903645 is a wasteful number, since it uses less digits than its factorization.

135903645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20429 (or 20426 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 135903645 is about 11657.7718711596. The cubic root of 135903645 is about 514.1348404984.

The spelling of 135903645 in words is "one hundred thirty-five million, nine hundred three thousand, six hundred forty-five".