1125541135400 has 96 divisors (see below), whose sum is σ = 2862870782400. Its totient is φ = 408127948800.

The previous prime is 1125541135331. The next prime is 1125541135409. The reversal of 1125541135400 is 45311455211.

It is a super-2 number, since 2×1125541135400² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1125541135409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51941 + ... + 1501259.

It is an arithmetic number, because the mean of its divisors is an integer number (29821570650).

Almost surely, 2^{1125541135400} is an apocalyptic number.

1125541135400 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 1125541135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431435391200).

1125541135400 is an abundant number, since it is smaller than the sum of its proper divisors (1737329647000).

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

1125541135400 is a wasteful number, since it uses less digits than its factorization.

1125541135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449699 (or 1449690 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 1125541135400 in words is "one trillion, one hundred twenty-five billion, five hundred forty-one million, one hundred thirty-five thousand, four hundred".