135093528000 has 448 divisors, whose sum is σ = 503817575040. Its totient is φ = 35430912000.

The previous prime is 135093527999. The next prime is 135093528041. The reversal of 135093528000 is 825390531.

It is a super-2 number, since 2×135093528000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13170874 + ... + 13181126.

Almost surely, 2^135093528000 is an apocalyptic number.

135093528000 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 135093528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251908787520).

135093528000 is an abundant number, since it is smaller than the sum of its proper divisors (368724047040).

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

135093528000 is a wasteful number, since it uses less digits than its factorization.

135093528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10350 (or 10324 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 135093528000 in words is "one hundred thirty-five billion, ninety-three million, five hundred twenty-eight thousand".