135339404400 has 180 divisors, whose sum is σ = 474226484368. Its totient is φ = 35740016640.

The previous prime is 135339404399. The next prime is 135339404401. The reversal of 135339404400 is 4404933531.

135339404400 is a `hidden beast` number, since 135 + 33 + 94 + 0 + 4 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (135339404399) and next prime (135339404401).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135339404401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 188304 + ... + 553296.

Almost surely, 2^135339404400 is an apocalyptic number.

135339404400 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 135339404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237113242184).

135339404400 is an abundant number, since it is smaller than the sum of its proper divisors (338887079968).

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

135339404400 is a wasteful number, since it uses less digits than its factorization.

135339404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365120 (or 365106 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 135339404400 in words is "one hundred thirty-five billion, three hundred thirty-nine million, four hundred four thousand, four hundred".