135072735 has 64 divisors (see below), whose sum is σ = 270065664. Its totient is φ = 56217600.

The previous prime is 135072733. The next prime is 135072739. The reversal of 135072735 is 537270531.

135072735 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135072735 - 2¹ = 135072733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135072696 and 135072705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135072733) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54115 + ... + 56555.

It is an arithmetic number, because the mean of its divisors is an integer number (4219776).

Almost surely, 2^135072735 is an apocalyptic number.

135072735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135072735 is a deficient number, since it is larger than the sum of its proper divisors (134992929).

135072735 is a wasteful number, since it uses less digits than its factorization.

135072735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504.

The product of its (nonzero) digits is 22050, while the sum is 33.

The square root of 135072735 is about 11622.0796331810. The cubic root of 135072735 is about 513.0848971662.

The spelling of 135072735 in words is "one hundred thirty-five million, seventy-two thousand, seven hundred thirty-five".