187746382120320 has 128 divisors (see below), whose sum is σ = 664935103404000. Its totient is φ = 50065701894144.

The previous prime is 187746382120313. The next prime is 187746382120321. The reversal of 187746382120320 is 23021283647781.

It is a happy number.

187746382120320 is a `hidden beast` number, since 1 + 8 + 7 + 74 + 6 + 38 + 212 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187746382120321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5432459055 + ... + 5432493614.

Almost surely, 2^{187746382120320} is an apocalyptic number.

187746382120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

187746382120320 is an abundant number, since it is smaller than the sum of its proper divisors (477188721283680).

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

187746382120320 is a wasteful number, since it uses less digits than its factorization.

187746382120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10864952697 (or 10864952679 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 187746382120320 in words is "one hundred eighty-seven trillion, seven hundred forty-six billion, three hundred eighty-two million, one hundred twenty thousand, three hundred twenty".