135735871 has 16 divisors (see below), whose sum is σ = 148327200. Its totient is φ = 123704320.

The previous prime is 135735851. The next prime is 135735877. The reversal of 135735871 is 178537531.

135735871 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 135735871 - 2⁵ = 135735839 is a prime.

It is a super-2 number, since 2×135735871² = 36848453352257282, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135735877) 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, 103200 + ... + 104506.

It is an arithmetic number, because the mean of its divisors is an integer number (9270450).

Almost surely, 2^135735871 is an apocalyptic number.

135735871 is a deficient number, since it is larger than the sum of its proper divisors (12591329).

135735871 is a wasteful number, since it uses less digits than its factorization.

135735871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514.

The product of its digits is 88200, while the sum is 40.

The square root of 135735871 is about 11650.5738485278. The cubic root of 135735871 is about 513.9231856929.

The spelling of 135735871 in words is "one hundred thirty-five million, seven hundred thirty-five thousand, eight hundred seventy-one".