135097113600 has 1056 divisors, whose sum is σ = 532835737600. Its totient is φ = 33861058560.

The previous prime is 135097113589. The next prime is 135097113623. The reversal of 135097113600 is 6311790531.

135097113600 is a `hidden beast` number, since 1 + 35 + 0 + 9 + 7 + 1 + 13 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1063756737 + ... + 1063756863.

Almost surely, 2^135097113600 is an apocalyptic number.

135097113600 is a gapful number since it is divisible by the number (10) 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 135097113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266417868800).

135097113600 is an abundant number, since it is smaller than the sum of its proper divisors (397738624000).

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

135097113600 is an equidigital number, since it uses as much as digits as its factorization.

135097113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The spelling of 135097113600 in words is "one hundred thirty-five billion, ninety-seven million, one hundred thirteen thousand, six hundred".