9132134400 has 468 divisors, whose sum is σ = 34013225792. Its totient is φ = 2428600320.

The previous prime is 9132134393. The next prime is 9132134441. The reversal of 9132134400 is 44312319.

9132134400 is a `hidden beast` number, since 9 + 1 + 3 + 213 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24883017 + ... + 24883383.

Almost surely, 2^9132134400 is an apocalyptic number.

9132134400 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 9132134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17006612896).

9132134400 is an abundant number, since it is smaller than the sum of its proper divisors (24881091392).

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

9132134400 is an equidigital number, since it uses as much as digits as its factorization.

9132134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 9132134400 is about 95562.2017326935. The cubic root of 9132134400 is about 2090.2140604753.

Adding to 9132134400 its reverse (44312319), we get a palindrome (9176446719).

The spelling of 9132134400 in words is "nine billion, one hundred thirty-two million, one hundred thirty-four thousand, four hundred".