96135120 has 80 divisors (see below), whose sum is σ = 331139520. Its totient is φ = 25635456.

The previous prime is 96135107. The next prime is 96135167. The reversal of 96135120 is 2153169.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×96135120² = 18483922594828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 20094 + ... + 24413.

It is an arithmetic number, because the mean of its divisors is an integer number (4139244).

Almost surely, 2^96135120 is an apocalyptic number.

96135120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96135120 is an abundant number, since it is smaller than the sum of its proper divisors (235004400).

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

96135120 is a wasteful number, since it uses less digits than its factorization.

96135120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44529 (or 44517 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 96135120 is about 9804.8518601762. The cubic root of 96135120 is about 458.1004210177.

Adding to 96135120 its reverse (2153169), we get a palindrome (98288289).

The spelling of 96135120 in words is "ninety-six million, one hundred thirty-five thousand, one hundred twenty".