1125018180 has 384 divisors, whose sum is σ = 4358914560. Its totient is φ = 236666880.

The previous prime is 1125018173. The next prime is 1125018187. The reversal of 1125018180 is 818105211.

1125018180 = 192³ + 193³ + ... + 276³.

1125018180 is a `hidden beast` number, since 1 + 1 + 2 + 501 + 81 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1125018173) and next prime (1125018187).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1125018187) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1312312 + ... + 1313168.

It is an arithmetic number, because the mean of its divisors is an integer number (11351340).

Almost surely, 2^1125018180 is an apocalyptic number.

1125018180 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 1125018180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179457280).

1125018180 is an abundant number, since it is smaller than the sum of its proper divisors (3233896380).

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

1125018180 is a wasteful number, since it uses less digits than its factorization.

1125018180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

The square root of 1125018180 is about 33541.2906728408. The cubic root of 1125018180 is about 1040.0475138549.

The spelling of 1125018180 in words is "one billion, one hundred twenty-five million, eighteen thousand, one hundred eighty".