135475200000 has 1152 divisors, whose sum is σ = 583633738800. Its totient is φ = 30965760000.

The previous prime is 135475199921. The next prime is 135475200017. The reversal of 135475200000 is 2574531.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

135475200000 is a `hidden beast` number, since 135 + 4 + 7 + 520 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 19353599997 + ... + 19353600003.

Almost surely, 2^135475200000 is an apocalyptic number.

135475200000 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 135475200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291816869400).

135475200000 is an abundant number, since it is smaller than the sum of its proper divisors (448158538800).

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

135475200000 is an frugal number, since it uses more digits than its factorization.

135475200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 135475200000 its reverse (2574531), we get a palindrome (135477774531).

The spelling of 135475200000 in words is "one hundred thirty-five billion, four hundred seventy-five million, two hundred thousand".