135875804400 has 360 divisors, whose sum is σ = 562577318640. Its totient is φ = 31057205760.

The previous prime is 135875804347. The next prime is 135875804431. The reversal of 135875804400 is 4408578531.

135875804400 is a `hidden beast` number, since 13 + 58 + 7 + 580 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 400822 + ... + 657578.

It is an arithmetic number, because the mean of its divisors is an integer number (1562714774).

Almost surely, 2^135875804400 is an apocalyptic number.

135875804400 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 135875804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281288659320).

135875804400 is an abundant number, since it is smaller than the sum of its proper divisors (426701514240).

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

135875804400 is a wasteful number, since it uses less digits than its factorization.

135875804400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256798 (or 256774 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 135875804400 in words is "one hundred thirty-five billion, eight hundred seventy-five million, eight hundred four thousand, four hundred".