9138427200 has 252 divisors, whose sum is σ = 37120555680. Its totient is φ = 2088760320.

The previous prime is 9138427171. The next prime is 9138427217. The reversal of 9138427200 is 27248319.

9138427200 is a `hidden beast` number, since 9 + 1 + 384 + 272 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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 35 ways as a sum of consecutive naturals, for example, 55471 + ... + 146129.

Almost surely, 2^9138427200 is an apocalyptic number.

9138427200 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 9138427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18560277840).

9138427200 is an abundant number, since it is smaller than the sum of its proper divisors (27982128480).

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

9138427200 is a wasteful number, since it uses less digits than its factorization.

9138427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90694 (or 90676 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9138427200 is about 95595.1212144218. The cubic root of 9138427200 is about 2090.6940606732.

The spelling of 9138427200 in words is "nine billion, one hundred thirty-eight million, four hundred twenty-seven thousand, two hundred".