181013732640 has 1344 divisors, whose sum is σ = 745924757760. Its totient is φ = 41116999680.

The previous prime is 181013732597. The next prime is 181013732681. The reversal of 181013732640 is 46237310181.

It is a happy number.

181013732640 is a `hidden beast` number, since 1 + 8 + 1 + 0 + 1 + 3 + 7 + 3 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 181013732595 and 181013732604.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1757414829 + ... + 1757414931.

It is an arithmetic number, because the mean of its divisors is an integer number (555003540).

Almost surely, 2^181013732640 is an apocalyptic number.

181013732640 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 181013732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372962378880).

181013732640 is an abundant number, since it is smaller than the sum of its proper divisors (564911025120).

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

181013732640 is a wasteful number, since it uses less digits than its factorization.

181013732640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 181013732640 in words is "one hundred eighty-one billion, thirteen million, seven hundred thirty-two thousand, six hundred forty".