9145059000 has 768 divisors, whose sum is σ = 37047628800. Its totient is φ = 1837440000.

The previous prime is 9145058977. The next prime is 9145059031. The reversal of 9145059000 is 9505419.

It is a super-2 number, since 2×9145059000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149918970 + ... + 149919030.

It is an arithmetic number, because the mean of its divisors is an integer number (48239100).

Almost surely, 2^9145059000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9145059000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18523814400).

9145059000 is an abundant number, since it is smaller than the sum of its proper divisors (27902569800).

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

9145059000 is a wasteful number, since it uses less digits than its factorization.

9145059000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 9145059000 is about 95629.8018402213. The cubic root of 9145059000 is about 2091.1996805842.

The spelling of 9145059000 in words is "nine billion, one hundred forty-five million, fifty-nine thousand".