1132146400 has 144 divisors (see below), whose sum is σ = 3446029440. Its totient is φ = 352857600.

The previous prime is 1132146377. The next prime is 1132146401. The reversal of 1132146400 is 46412311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132146401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52411 + ... + 70789.

It is an arithmetic number, because the mean of its divisors is an integer number (23930760).

Almost surely, 2^1132146400 is an apocalyptic number.

1132146400 is a gapful number since it is divisible by the number (10) 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 1132146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723014720).

1132146400 is an abundant number, since it is smaller than the sum of its proper divisors (2313883040).

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

1132146400 is a wasteful number, since it uses less digits than its factorization.

1132146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18417 (or 18404 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1132146400 is about 33647.3832563544. The cubic root of 1132146400 is about 1042.2395034504.

Adding to 1132146400 its reverse (46412311), we get a palindrome (1178558711).

The spelling of 1132146400 in words is "one billion, one hundred thirty-two million, one hundred forty-six thousand, four hundred".