1125132084900 has 576 divisors, whose sum is σ = 3926148710400. Its totient is φ = 275558976000.

The previous prime is 1125132084847. The next prime is 1125132084911. The reversal of 1125132084900 is 94802315211.

1125132084900 is a `hidden beast` number, since 1 + 1 + 251 + 320 + 84 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 343970265 + ... + 343973535.

It is an arithmetic number, because the mean of its divisors is an integer number (6816230400).

Almost surely, 2^{1125132084900} is an apocalyptic number.

1125132084900 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 1125132084900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963074355200).

1125132084900 is an abundant number, since it is smaller than the sum of its proper divisors (2801016625500).

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

1125132084900 is a wasteful number, since it uses less digits than its factorization.

1125132084900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1125132084900 in words is "one trillion, one hundred twenty-five billion, one hundred thirty-two million, eighty-four thousand, nine hundred".