128736096 has 96 divisors (see below), whose sum is σ = 358727040. Its totient is φ = 40310784.

The previous prime is 128736089. The next prime is 128736119. The reversal of 128736096 is 690637821.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297096 + ... + 297528.

It is an arithmetic number, because the mean of its divisors is an integer number (3736740).

Almost surely, 2^128736096 is an apocalyptic number.

128736096 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 128736096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179363520).

128736096 is an abundant number, since it is smaller than the sum of its proper divisors (229990944).

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

128736096 is a wasteful number, since it uses less digits than its factorization.

128736096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 128736096 is about 11346.1930179246. The cubic root of 128736096 is about 504.9326394485.

The spelling of 128736096 in words is "one hundred twenty-eight million, seven hundred thirty-six thousand, ninety-six".