182113207920 has 1080 divisors, whose sum is σ = 764570439360. Its totient is φ = 38720747520.

The previous prime is 182113207877. The next prime is 182113207961. The reversal of 182113207920 is 29702311281.

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

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 1006150230 + ... + 1006150410.

It is an arithmetic number, because the mean of its divisors is an integer number (707935592).

Almost surely, 2^182113207920 is an apocalyptic number.

182113207920 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 182113207920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382285219680).

182113207920 is an abundant number, since it is smaller than the sum of its proper divisors (582457231440).

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

182113207920 is a wasteful number, since it uses less digits than its factorization.

182113207920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 182113207920 in words is "one hundred eighty-two billion, one hundred thirteen million, two hundred seven thousand, nine hundred twenty".