135000096 has 144 divisors (see below), whose sum is σ = 449880480. Its totient is φ = 35051520.

The previous prime is 135000079. The next prime is 135000101. The reversal of 135000096 is 690000531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50440 + ... + 53048.

It is an arithmetic number, because the mean of its divisors is an integer number (3124170).

Almost surely, 2^135000096 is an apocalyptic number.

135000096 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 135000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224940240).

135000096 is an abundant number, since it is smaller than the sum of its proper divisors (314880384).

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

135000096 is a wasteful number, since it uses less digits than its factorization.

135000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 135000096 is about 11618.9541698038. The cubic root of 135000096 is about 512.9929056013.

The spelling of 135000096 in words is "one hundred thirty-five million, ninety-six", and thus it is an aban number.