135781728408 has 128 divisors (see below), whose sum is σ = 381323980800. Its totient is φ = 44764005888.

The previous prime is 135781728373. The next prime is 135781728553. The reversal of 135781728408 is 804827187531.

135781728408 is a `hidden beast` number, since 1 + 3 + 578 + 1 + 7 + 28 + 40 + 8 = 666.

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 31 ways as a sum of consecutive naturals, for example, 11880985 + ... + 11892407.

It is an arithmetic number, because the mean of its divisors is an integer number (2979093600).

Almost surely, 2^135781728408 is an apocalyptic number.

135781728408 is a gapful number since it is divisible by the number (18) 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 135781728408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190661990400).

135781728408 is an abundant number, since it is smaller than the sum of its proper divisors (245542252392).

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

135781728408 is a wasteful number, since it uses less digits than its factorization.

135781728408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12038 (or 12028 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 135781728408 in words is "one hundred thirty-five billion, seven hundred eighty-one million, seven hundred twenty-eight thousand, four hundred eight".