135905008800 has 576 divisors, whose sum is σ = 519881725440. Its totient is φ = 30481920000.

The previous prime is 135905008769. The next prime is 135905008823. The reversal of 135905008800 is 8800509531.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21565650 + ... + 21571950.

It is an arithmetic number, because the mean of its divisors is an integer number (902572440).

Almost surely, 2^135905008800 is an apocalyptic number.

135905008800 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 135905008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259940862720).

135905008800 is an abundant number, since it is smaller than the sum of its proper divisors (383976716640).

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

135905008800 is a wasteful number, since it uses less digits than its factorization.

135905008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6397 (or 6384 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 135905008800 in words is "one hundred thirty-five billion, nine hundred five million, eight thousand, eight hundred".