180126016 has 112 divisors (see below), whose sum is σ = 440228736. Its totient is φ = 71368704.

The previous prime is 180126013. The next prime is 180126017. The reversal of 180126016 is 610621081.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180126013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510096 + ... + 510448.

Almost surely, 2^180126016 is an apocalyptic number.

180126016 is a gapful number since it is divisible by the number (16) 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 180126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220114368).

180126016 is an abundant number, since it is smaller than the sum of its proper divisors (260102720).

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

180126016 is a wasteful number, since it uses less digits than its factorization.

180126016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 180126016 is about 13421.1033823602. The cubic root of 180126016 is about 564.7533483658.

Adding to 180126016 its reverse (610621081), we get a palindrome (790747097).

The spelling of 180126016 in words is "one hundred eighty million, one hundred twenty-six thousand, sixteen".