135359166096 has 800 divisors, whose sum is σ = 524734771968. Its totient is φ = 32606945280.

The previous prime is 135359166053. The next prime is 135359166097. The reversal of 135359166096 is 690661953531.

135359166096 is a `hidden beast` number, since 1 + 3 + 535 + 9 + 16 + 6 + 0 + 96 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (135359166097) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 123841326 + ... + 123842418.

Almost surely, 2^135359166096 is an apocalyptic number.

135359166096 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 135359166096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262367385984).

135359166096 is an abundant number, since it is smaller than the sum of its proper divisors (389375605872).

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

135359166096 is a wasteful number, since it uses less digits than its factorization.

135359166096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 135359166096 in words is "one hundred thirty-five billion, three hundred fifty-nine million, one hundred sixty-six thousand, ninety-six".