180741120 has 264 divisors, whose sum is σ = 677180352. Its totient is φ = 40304640.

The previous prime is 180741103. The next prime is 180741149. The reversal of 180741120 is 21147081.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4408300 + ... + 4408340.

Almost surely, 2^180741120 is an apocalyptic number.

180741120 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 180741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338590176).

180741120 is an abundant number, since it is smaller than the sum of its proper divisors (496439232).

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

180741120 is an equidigital number, since it uses as much as digits as its factorization.

180741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 180741120 is about 13443.9994049390. Note that the first 3 decimals coincide. The cubic root of 180741120 is about 565.3954680332.

The spelling of 180741120 in words is "one hundred eighty million, seven hundred forty-one thousand, one hundred twenty".