9156134400 has 480 divisors, whose sum is σ = 36094975488. Its totient is φ = 2000486400.

The previous prime is 9156134389. The next prime is 9156134411. The reversal of 9156134400 is 44316519.

It is an interprime number because it is at equal distance from previous prime (9156134389) and next prime (9156134411).

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 6181660 + ... + 6183140.

Almost surely, 2^9156134400 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 9156134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18047487744).

9156134400 is an abundant number, since it is smaller than the sum of its proper divisors (26938841088).

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

9156134400 is a wasteful number, since it uses less digits than its factorization.

9156134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 9156134400 is about 95687.6919985010. The cubic root of 9156134400 is about 2092.0435435320.

The spelling of 9156134400 in words is "nine billion, one hundred fifty-six million, one hundred thirty-four thousand, four hundred".