135447000975 has 288 divisors, whose sum is σ = 302230656000. Its totient is φ = 57005337600.

The previous prime is 135447000947. The next prime is 135447001021. The reversal of 135447000975 is 579000744531.

135447000975 is a `hidden beast` number, since 13 + 544 + 7 + 0 + 0 + 0 + 97 + 5 = 666.

It is not a de Polignac number, because 135447000975 - 2⁶ = 135447000911 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135447000975.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 91086682 + ... + 91088168.

It is an arithmetic number, because the mean of its divisors is an integer number (1049412000).

Almost surely, 2^135447000975 is an apocalyptic number.

135447000975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135447000975 is an abundant number, since it is smaller than the sum of its proper divisors (166783655025).

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

135447000975 is a wasteful number, since it uses less digits than its factorization.

135447000975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 135447000975 in words is "one hundred thirty-five billion, four hundred forty-seven million, nine hundred seventy-five", and thus it is an aban number.