135104736 has 96 divisors (see below), whose sum is σ = 395206560. Its totient is φ = 40126464.

The previous prime is 135104731. The next prime is 135104741. The reversal of 135104736 is 637401531.

It is an interprime number because it is at equal distance from previous prime (135104731) and next prime (135104741).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135104731) 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, 34326 + ... + 38058.

It is an arithmetic number, because the mean of its divisors is an integer number (4116735).

Almost surely, 2^135104736 is an apocalyptic number.

135104736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135104736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197603280).

135104736 is an abundant number, since it is smaller than the sum of its proper divisors (260101824).

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

135104736 is a wasteful number, since it uses less digits than its factorization.

135104736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 135104736 is about 11623.4562845997. The cubic root of 135104736 is about 513.1254134439.

The spelling of 135104736 in words is "one hundred thirty-five million, one hundred four thousand, seven hundred thirty-six".