181255345920 has 720 divisors, whose sum is σ = 714857375232. Its totient is φ = 43485880320.

The previous prime is 181255345903. The next prime is 181255345949. The reversal of 181255345920 is 29543552181.

181255345920 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 5 + 53 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 117468669 + ... + 117470211.

Almost surely, 2^181255345920 is an apocalyptic number.

181255345920 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 181255345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357428687616).

181255345920 is an abundant number, since it is smaller than the sum of its proper divisors (533602029312).

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

181255345920 is a wasteful number, since it uses less digits than its factorization.

181255345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

It can be divided in two parts, 181 and 255345920, that added together give a triangular number (255346101 = T₂₂₅₉₈).

The spelling of 181255345920 in words is "one hundred eighty-one billion, two hundred fifty-five million, three hundred forty-five thousand, nine hundred twenty".