181803400128 has 672 divisors, whose sum is σ = 641109004800. Its totient is φ = 50352648192.

The previous prime is 181803400063. The next prime is 181803400139. The reversal of 181803400128 is 821004308181.

181803400128 is a `hidden beast` number, since 18 + 180 + 340 + 0 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 181803400092 and 181803400101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 414130533 + ... + 414130971.

Almost surely, 2^181803400128 is an apocalyptic number.

181803400128 is a gapful number since it is divisible by the number (18) 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 181803400128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320554502400).

181803400128 is an abundant number, since it is smaller than the sum of its proper divisors (459305604672).

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

181803400128 is a wasteful number, since it uses less digits than its factorization.

181803400128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 181803400128 in words is "one hundred eighty-one billion, eight hundred three million, four hundred thousand, one hundred twenty-eight".