135807441 has 32 divisors (see below), whose sum is σ = 239044608. Its totient is φ = 66397440.

The previous prime is 135807431. The next prime is 135807461. The reversal of 135807441 is 144708531.

It is not a de Polignac number, because 135807441 - 2⁷ = 135807313 is a prime.

It is a super-2 number, since 2×135807441² = 36887322061936962, 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 (135807401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13365 + ... + 21218.

It is an arithmetic number, because the mean of its divisors is an integer number (7470144).

Almost surely, 2^135807441 is an apocalyptic number.

135807441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135807441 is a deficient number, since it is larger than the sum of its proper divisors (103237167).

135807441 is a wasteful number, since it uses less digits than its factorization.

135807441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34621.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 135807441 is about 11653.6449662756. The cubic root of 135807441 is about 514.0134959388.

The spelling of 135807441 in words is "one hundred thirty-five million, eight hundred seven thousand, four hundred forty-one".