135681531814080 has 560 divisors, whose sum is σ = 551673064531776. Its totient is φ = 31008368885760.

The previous prime is 135681531814061. The next prime is 135681531814193. The reversal of 135681531814080 is 80418135186531.

135681531814080 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 8 + 1 + 53 + 181 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1323916440 + ... + 1324018920.

Almost surely, 2^{135681531814080} is an apocalyptic number.

135681531814080 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 135681531814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275836532265888).

135681531814080 is an abundant number, since it is smaller than the sum of its proper divisors (415991532717696).

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

135681531814080 is a wasteful number, since it uses less digits than its factorization.

135681531814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109814 (or 109795 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 135681531814080 in words is "one hundred thirty-five trillion, six hundred eighty-one billion, five hundred thirty-one million, eight hundred fourteen thousand, eighty".