135905527296 has 1200 divisors, whose sum is σ = 526293627552. Its totient is φ = 34159656960.

The previous prime is 135905527271. The next prime is 135905527301. The reversal of 135905527296 is 692725509531.

135905527296 is a `hidden beast` number, since 1 + 3 + 5 + 90 + 5 + 527 + 29 + 6 = 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 119 ways as a sum of consecutive naturals, for example, 1861719516 + ... + 1861719588.

Almost surely, 2^135905527296 is an apocalyptic number.

135905527296 is a gapful number since it is divisible by the number (16) 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 135905527296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263146813776).

135905527296 is an abundant number, since it is smaller than the sum of its proper divisors (390388100256).

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

135905527296 is an equidigital number, since it uses as much as digits as its factorization.

135905527296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 135905527296 in words is "one hundred thirty-five billion, nine hundred five million, five hundred twenty-seven thousand, two hundred ninety-six".