135967743 has 48 divisors (see below), whose sum is σ = 218050560. Its totient is φ = 81259200.

The previous prime is 135967739. The next prime is 135967759. The reversal of 135967743 is 347769531.

135967743 is a `hidden beast` number, since 13 + 596 + 7 + 7 + 43 = 666.

It is not a de Polignac number, because 135967743 - 2² = 135967739 is a prime.

Its product of digits (476280) is a multiple of the sum of its prime factors (420).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135967043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711778 + ... + 711968.

It is an arithmetic number, because the mean of its divisors is an integer number (4542720).

Almost surely, 2^135967743 is an apocalyptic number.

135967743 is a deficient number, since it is larger than the sum of its proper divisors (82082817).

135967743 is a wasteful number, since it uses less digits than its factorization.

135967743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 417 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 135967743 is about 11660.5207002089. The cubic root of 135967743 is about 514.2156571568.

The spelling of 135967743 in words is "one hundred thirty-five million, nine hundred sixty-seven thousand, seven hundred forty-three".