181518480 has 480 divisors, whose sum is σ = 750701952. Its totient is φ = 38707200.

The previous prime is 181518443. The next prime is 181518499. The reversal of 181518480 is 84815181.

It is a happy number.

181518480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4221339 + ... + 4221381.

Almost surely, 2^181518480 is an apocalyptic number.

181518480 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 181518480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375350976).

181518480 is an abundant number, since it is smaller than the sum of its proper divisors (569183472).

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

181518480 is a wasteful number, since it uses less digits than its factorization.

181518480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 181518480 is about 13472.8794249782. The cubic root of 181518480 is about 566.2048894666.

The spelling of 181518480 in words is "one hundred eighty-one million, five hundred eighteen thousand, four hundred eighty".