135899008826400 has 576 divisors, whose sum is σ = 507526666214400. Its totient is φ = 35058935808000.

The previous prime is 135899008826351. The next prime is 135899008826419. The reversal of 135899008826400 is 4628800998531.

135899008826400 is a `hidden beast` number, since 1 + 3 + 589 + 9 + 0 + 0 + 8 + 8 + 2 + 6 + 40 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2089789086 + ... + 2089854114.

It is an arithmetic number, because the mean of its divisors is an integer number (881122684400).

Almost surely, 2^{135899008826400} is an apocalyptic number.

135899008826400 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 135899008826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253763333107200).

135899008826400 is an abundant number, since it is smaller than the sum of its proper divisors (371627657388000).

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

135899008826400 is a wasteful number, since it uses less digits than its factorization.

135899008826400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68210 (or 68191 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 135899008826400 in words is "one hundred thirty-five trillion, eight hundred ninety-nine billion, eight million, eight hundred twenty-six thousand, four hundred".