9138087000 has 384 divisors, whose sum is σ = 36445593600. Its totient is φ = 2020896000.

The previous prime is 9138086989. The next prime is 9138087019. The reversal of 9138087000 is 7808319.

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1950661 + ... + 1955339.

It is an arithmetic number, because the mean of its divisors is an integer number (94910400).

Almost surely, 2^9138087000 is an apocalyptic number.

9138087000 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 9138087000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18222796800).

9138087000 is an abundant number, since it is smaller than the sum of its proper divisors (27307506600).

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

9138087000 is a wasteful number, since it uses less digits than its factorization.

9138087000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744 (or 4727 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 9138087000 is about 95593.3418183505. The cubic root of 9138087000 is about 2090.6681166411.

The spelling of 9138087000 in words is "nine billion, one hundred thirty-eight million, eighty-seven thousand".