181434240 has 192 divisors, whose sum is σ = 674987040. Its totient is φ = 44642304.

The previous prime is 181434233. The next prime is 181434247. The reversal of 181434240 is 42434181.

It is an interprime number because it is at equal distance from previous prime (181434233) and next prime (181434247).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181434247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73669 + ... + 76091.

Almost surely, 2^181434240 is an apocalyptic number.

181434240 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 181434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337493520).

181434240 is an abundant number, since it is smaller than the sum of its proper divisors (493552800).

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

181434240 is a wasteful number, since it uses less digits than its factorization.

181434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 181434240 is about 13469.7527816957. The cubic root of 181434240 is about 566.1172868521.

The spelling of 181434240 in words is "one hundred eighty-one million, four hundred thirty-four thousand, two hundred forty".