180156361920 has 224 divisors, whose sum is σ = 583429920768. Its totient is φ = 47083425792.

The previous prime is 180156361873. The next prime is 180156361921. The reversal of 180156361920 is 29163651081.

180156361920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (180156361921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 73622137 + ... + 73624583.

Almost surely, 2^180156361920 is an apocalyptic number.

180156361920 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 180156361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291714960384).

180156361920 is an abundant number, since it is smaller than the sum of its proper divisors (403273558848).

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

180156361920 is a wasteful number, since it uses less digits than its factorization.

180156361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 180156361920 in words is "one hundred eighty billion, one hundred fifty-six million, three hundred sixty-one thousand, nine hundred twenty".