135918881280 has 1440 divisors, whose sum is σ = 613323494784. Its totient is φ = 28677390336.

The previous prime is 135918881233. The next prime is 135918881303. The reversal of 135918881280 is 82188819531.

135918881280 is a `hidden beast` number, since 1 + 359 + 1 + 8 + 8 + 8 + 1 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10455298554 + ... + 10455298566.

Almost surely, 2^135918881280 is an apocalyptic number.

135918881280 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 135918881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306661747392).

135918881280 is an abundant number, since it is smaller than the sum of its proper divisors (477404613504).

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

135918881280 is an frugal number, since it uses more digits than its factorization.

135918881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 135918881280 in words is "one hundred thirty-five billion, nine hundred eighteen million, eight hundred eighty-one thousand, two hundred eighty".