135485078400 has 1728 divisors, whose sum is σ = 614814220800. Its totient is φ = 28217548800.

The previous prime is 135485078299. The next prime is 135485078401. The reversal of 135485078400 is 4870584531.

135485078400 is a `hidden beast` number, since 13 + 54 + 8 + 507 + 84 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135485078401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 831196719 + ... + 831196881.

Almost surely, 2^135485078400 is an apocalyptic number.

135485078400 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 135485078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307407110400).

135485078400 is an abundant number, since it is smaller than the sum of its proper divisors (479329142400).

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

135485078400 is a wasteful number, since it uses less digits than its factorization.

135485078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 230 counting only the distinct ones).

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

The spelling of 135485078400 in words is "one hundred thirty-five billion, four hundred eighty-five million, seventy-eight thousand, four hundred".