9138507840 has 1008 divisors, whose sum is σ = 41415004800. Its totient is φ = 1833431040.

The previous prime is 9138507823. The next prime is 9138507841. The reversal of 9138507840 is 487058319.

9138507840 is a `hidden beast` number, since 9 + 138 + 507 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9138507841) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 315120946 + ... + 315120974.

Almost surely, 2^9138507840 is an apocalyptic number.

9138507840 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 9138507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20707502400).

9138507840 is an abundant number, since it is smaller than the sum of its proper divisors (32276496960).

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

9138507840 is a wasteful number, since it uses less digits than its factorization.

9138507840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 9138507840 is about 95595.5429923383. The cubic root of 9138507840 is about 2090.7002102753.

The spelling of 9138507840 in words is "nine billion, one hundred thirty-eight million, five hundred seven thousand, eight hundred forty".