9142308000 has 960 divisors, whose sum is σ = 39956716800. Its totient is φ = 2003097600.

The previous prime is 9142307989. The next prime is 9142308047. The reversal of 9142308000 is 8032419.

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 159 ways as a sum of consecutive naturals, for example, 65771931 + ... + 65772069.

It is an arithmetic number, because the mean of its divisors is an integer number (41621580).

Almost surely, 2^9142308000 is an apocalyptic number.

9142308000 is a gapful number since it is divisible by the number (90) 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 9142308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19978358400).

9142308000 is an abundant number, since it is smaller than the sum of its proper divisors (30814408800).

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

9142308000 is a wasteful number, since it uses less digits than its factorization.

9142308000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9142308000 is about 95615.4171668984. The cubic root of 9142308000 is about 2090.9899692608.

The spelling of 9142308000 in words is "nine billion, one hundred forty-two million, three hundred eight thousand".