187000636849152 has 704 divisors, whose sum is σ = 586258808678400. Its totient is φ = 51898790707200.

The previous prime is 187000636849151. The next prime is 187000636849163. The reversal of 187000636849152 is 251948636000781.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187000636849151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24383962374 + ... + 24383970042.

It is an arithmetic number, because the mean of its divisors is an integer number (832753989600).

It is a 1-persistent number, because it is pandigital, but 2⋅187000636849152 = 374001273698304 is not.

Almost surely, 2^{187000636849152} is an apocalyptic number.

187000636849152 is a gapful number since it is divisible by the number (12) 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 187000636849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293129404339200).

187000636849152 is an abundant number, since it is smaller than the sum of its proper divisors (399258171829248).

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

187000636849152 is a wasteful number, since it uses less digits than its factorization.

187000636849152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8012 (or 7994 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 187000636849152 in words is "one hundred eighty-seven trillion, six hundred thirty-six million, eight hundred forty-nine thousand, one hundred fifty-two".