181642134960 has 640 divisors, whose sum is σ = 737072824320. Its totient is φ = 40534732800.

The previous prime is 181642134953. The next prime is 181642134983. The reversal of 181642134960 is 69431246181.

181642134960 is a `hidden beast` number, since 1 + 81 + 64 + 21 + 3 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 167103537 + ... + 167104623.

It is an arithmetic number, because the mean of its divisors is an integer number (1151676288).

Almost surely, 2^181642134960 is an apocalyptic number.

181642134960 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 181642134960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368536412160).

181642134960 is an abundant number, since it is smaller than the sum of its proper divisors (555430689360).

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

181642134960 is a wasteful number, since it uses less digits than its factorization.

181642134960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 181642134960 in words is "one hundred eighty-one billion, six hundred forty-two million, one hundred thirty-four thousand, nine hundred sixty".