9051259140 has 864 divisors, whose sum is σ = 38023824384. Its totient is φ = 1755198720.

The previous prime is 9051259093. The next prime is 9051259171. The reversal of 9051259140 is 419521509.

9051259140 is a `hidden beast` number, since 90 + 512 + 59 + 1 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9051259095 and 9051259104.

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, 135093387 + ... + 135093453.

It is an arithmetic number, because the mean of its divisors is an integer number (44009056).

Almost surely, 2^9051259140 is an apocalyptic number.

9051259140 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 9051259140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19011912192).

9051259140 is an abundant number, since it is smaller than the sum of its proper divisors (28972565244).

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

9051259140 is a wasteful number, since it uses less digits than its factorization.

9051259140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 9051259140 is about 95138.1056149427. The cubic root of 9051259140 is about 2084.0253609424.

The spelling of 9051259140 in words is "nine billion, fifty-one million, two hundred fifty-nine thousand, one hundred forty".