1125180 has 144 divisors (see below), whose sum is σ = 4193280. Its totient is φ = 238464.

The previous prime is 1125169. The next prime is 1125193. The reversal of 1125180 is 815211.

1125180 = T₁ + T₂ + ... + T₁₈₈.

1125180 is a nontrivial binomial coefficient, being equal to C(190, 3).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is the 188-th tetrahedral number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23917 + ... + 23963.

It is an arithmetic number, because the mean of its divisors is an integer number (29120).

2^1125180 is an apocalyptic number.

1125180 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 1125180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096640).

1125180 is an abundant number, since it is smaller than the sum of its proper divisors (3068100).

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

1125180 is a wasteful number, since it uses less digits than its factorization.

1125180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1125180 is about 1060.7450211997. The cubic root of 1125180 is about 104.0097377470.

It can be divided in two parts, 1125 and 180, that multiplied together give a square (202500 = 450²).

The spelling of 1125180 in words is "one million, one hundred twenty-five thousand, one hundred eighty".