135183396096 has 432 divisors, whose sum is σ = 486288857600. Its totient is φ = 36588754944.

The previous prime is 135183396083. The next prime is 135183396113. The reversal of 135183396096 is 690693381531.

135183396096 is a `hidden beast` number, since 1 + 3 + 518 + 3 + 39 + 6 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8265495 + ... + 8281833.

Almost surely, 2^135183396096 is an apocalyptic number.

135183396096 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 135183396096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243144428800).

135183396096 is an abundant number, since it is smaller than the sum of its proper divisors (351105461504).

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

135183396096 is an equidigital number, since it uses as much as digits as its factorization.

135183396096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16396 (or 16370 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 135183396096 in words is "one hundred thirty-five billion, one hundred eighty-three million, three hundred ninety-six thousand, ninety-six".