181146240 has 256 divisors, whose sum is σ = 700617600. Its totient is φ = 43868160.

The previous prime is 181146233. The next prime is 181146253. The reversal of 181146240 is 42641181.

It is a happy number.

It is a super-2 number, since 2×181146240² = 65627920532275200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189604 + ... + 190556.

Almost surely, 2^181146240 is an apocalyptic number.

181146240 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 181146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350308800).

181146240 is an abundant number, since it is smaller than the sum of its proper divisors (519471360).

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

181146240 is a wasteful number, since it uses less digits than its factorization.

181146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 181146240 is about 13459.0579165111. The cubic root of 181146240 is about 565.8175857538.

The spelling of 181146240 in words is "one hundred eighty-one million, one hundred forty-six thousand, two hundred forty".