135761307 has 16 divisors (see below), whose sum is σ = 203842560. Its totient is φ = 79624800.

The previous prime is 135761299. The next prime is 135761359. The reversal of 135761307 is 703167531.

135761307 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 135761307 - 2³ = 135761299 is a prime.

It is a super-2 number, since 2×135761307² = 36862264956696498, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (135761207) 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, 65332 + ... + 67377.

It is an arithmetic number, because the mean of its divisors is an integer number (12740160).

Almost surely, 2^135761307 is an apocalyptic number.

135761307 is a deficient number, since it is larger than the sum of its proper divisors (68081253).

135761307 is a wasteful number, since it uses less digits than its factorization.

135761307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132754.

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 135761307 is about 11651.6654174414. The cubic root of 135761307 is about 513.9552856176.

The spelling of 135761307 in words is "one hundred thirty-five million, seven hundred sixty-one thousand, three hundred seven".