181013040 has 240 divisors, whose sum is σ = 665394912. Its totient is φ = 43831296.

The previous prime is 181013039. The next prime is 181013069. The reversal of 181013040 is 40310181.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 776764 + ... + 776996.

Almost surely, 2^181013040 is an apocalyptic number.

181013040 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 181013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332697456).

181013040 is an abundant number, since it is smaller than the sum of its proper divisors (484381872).

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

181013040 is a wasteful number, since it uses less digits than its factorization.

181013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 181013040 is about 13454.1086661287. The cubic root of 181013040 is about 565.6788665568.

The spelling of 181013040 in words is "one hundred eighty-one million, thirteen thousand, forty".