135776646800 has 120 divisors (see below), whose sum is σ = 328001631552. Its totient is φ = 54012096000.

The previous prime is 135776646781. The next prime is 135776646829. The reversal of 135776646800 is 8646677531.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89858045 + ... + 89859555.

Almost surely, 2^135776646800 is an apocalyptic number.

135776646800 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 135776646800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164000815776).

135776646800 is an abundant number, since it is smaller than the sum of its proper divisors (192224984752).

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

135776646800 is a wasteful number, since it uses less digits than its factorization.

135776646800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 53.

The spelling of 135776646800 in words is "one hundred thirty-five billion, seven hundred seventy-six million, six hundred forty-six thousand, eight hundred".