187145621120 has 512 divisors, whose sum is σ = 502329600000. Its totient is φ = 66452520960.

The previous prime is 187145621111. The next prime is 187145621147. The reversal of 187145621120 is 21126541781.

187145621120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 1256010806 + ... + 1256010954.

It is an arithmetic number, because the mean of its divisors is an integer number (981112500).

Almost surely, 2^187145621120 is an apocalyptic number.

187145621120 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 187145621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251164800000).

187145621120 is an abundant number, since it is smaller than the sum of its proper divisors (315183978880).

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

187145621120 is a wasteful number, since it uses less digits than its factorization.

187145621120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 38.

The spelling of 187145621120 in words is "one hundred eighty-seven billion, one hundred forty-five million, six hundred twenty-one thousand, one hundred twenty".