18153135000 has 1440 divisors, whose sum is σ = 85616593920. Its totient is φ = 3369600000.

The previous prime is 18153134957. The next prime is 18153135023. The reversal of 18153135000 is 53135181.

18153135000 is a `hidden beast` number, since 1 + 8 + 153 + 1 + 3 + 500 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 585584985 + ... + 585585015.

It is an arithmetic number, because the mean of its divisors is an integer number (59455968).

Almost surely, 2^18153135000 is an apocalyptic number.

18153135000 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 18153135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42808296960).

18153135000 is an abundant number, since it is smaller than the sum of its proper divisors (67463458920).

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

18153135000 is a wasteful number, since it uses less digits than its factorization.

18153135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 18153135000 in words is "eighteen billion, one hundred fifty-three million, one hundred thirty-five thousand".