135673736 has 64 divisors (see below), whose sum is σ = 297432000. Its totient is φ = 57333760.

The previous prime is 135673723. The next prime is 135673751. The reversal of 135673736 is 637376531.

It is a junction number, because it is equal to n+sod(n) for n = 135673693 and 135673702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132635 + ... + 133653.

It is an arithmetic number, because the mean of its divisors is an integer number (4647375).

Almost surely, 2^135673736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135673736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148716000).

135673736 is an abundant number, since it is smaller than the sum of its proper divisors (161758264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135673736 is a wasteful number, since it uses less digits than its factorization.

135673736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1138 counting only the distinct ones).

The product of its digits is 238140, while the sum is 41.

The square root of 135673736 is about 11647.9069364414. The cubic root of 135673736 is about 513.8447552071.

The spelling of 135673736 in words is "one hundred thirty-five million, six hundred seventy-three thousand, seven hundred thirty-six".