1134272400 has 60 divisors (see below), whose sum is σ = 3633456432. Its totient is φ = 302472320.

The previous prime is 1134272383. The next prime is 1134272401. The reversal of 1134272400 is 42724311.

It is a happy number.

1134272400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1134272401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 471414 + ... + 473813.

Almost surely, 2^1134272400 is an apocalyptic number.

1134272400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1134272400 is an abundant number, since it is smaller than the sum of its proper divisors (2499184032).

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

1134272400 is a wasteful number, since it uses less digits than its factorization.

1134272400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945248 (or 945237 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1134272400 is about 33678.9607915684. The cubic root of 1134272400 is about 1042.8914849873.

Adding to 1134272400 its reverse (42724311), we get a palindrome (1176996711).

The spelling of 1134272400 in words is "one billion, one hundred thirty-four million, two hundred seventy-two thousand, four hundred".