135361946880 has 288 divisors, whose sum is σ = 481838824320. Its totient is φ = 35984424960.

The previous prime is 135361946861. The next prime is 135361946887. The reversal of 135361946880 is 88649163531.

135361946880 is a `hidden beast` number, since 13 + 5 + 3 + 619 + 4 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135361946887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11433444 + ... + 11445276.

Almost surely, 2^135361946880 is an apocalyptic number.

135361946880 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 135361946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240919412160).

135361946880 is an abundant number, since it is smaller than the sum of its proper divisors (346476877440).

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

135361946880 is a wasteful number, since it uses less digits than its factorization.

135361946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12194 (or 12174 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 135361946880 in words is "one hundred thirty-five billion, three hundred sixty-one million, nine hundred forty-six thousand, eight hundred eighty".