182232077040 has 240 divisors, whose sum is σ = 674401439712. Its totient is φ = 43813840896.

The previous prime is 182232077033. The next prime is 182232077051. The reversal of 182232077040 is 40770232281.

182232077040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 182232076986 and 182232077004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176094 + ... + 628866.

Almost surely, 2^182232077040 is an apocalyptic number.

182232077040 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 182232077040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337200719856).

182232077040 is an abundant number, since it is smaller than the sum of its proper divisors (492169362672).

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

182232077040 is a wasteful number, since it uses less digits than its factorization.

182232077040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452848 (or 452839 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 182232077040 in words is "one hundred eighty-two billion, two hundred thirty-two million, seventy-seven thousand, forty".