135185340881800 has 384 divisors, whose sum is σ = 391053770956800. Its totient is φ = 42827457024000.

The previous prime is 135185340881779. The next prime is 135185340881809. The reversal of 135185340881800 is 8188043581531.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (135185340881809) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24131431 + ... + 29200969.

It is an arithmetic number, because the mean of its divisors is an integer number (1018369195200).

Almost surely, 2^{135185340881800} is an apocalyptic number.

135185340881800 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 135185340881800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195526885478400).

135185340881800 is an abundant number, since it is smaller than the sum of its proper divisors (255868430075000).

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

135185340881800 is a wasteful number, since it uses less digits than its factorization.

135185340881800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069637 (or 5069628 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 55.

The spelling of 135185340881800 in words is "one hundred thirty-five trillion, one hundred eighty-five billion, three hundred forty million, eight hundred eighty-one thousand, eight hundred".