187115040 has 288 divisors, whose sum is σ = 768942720. Its totient is φ = 40476672.

The previous prime is 187115023. The next prime is 187115083. The reversal of 187115040 is 40511781.

It is a Cunningham number, because it is equal to 13679²-1.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 187114995 and 187115013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191032 + ... + 192008.

It is an arithmetic number, because the mean of its divisors is an integer number (2669940).

Almost surely, 2^187115040 is an apocalyptic number.

187115040 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 187115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384471360).

187115040 is an abundant number, since it is smaller than the sum of its proper divisors (581827680).

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

187115040 is a wasteful number, since it uses less digits than its factorization.

187115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 187115040 is about 13678.9999634476. Note that the first 4 decimals coincide. The cubic root of 187115040 is about 571.9651469464.

The spelling of 187115040 in words is "one hundred eighty-seven million, one hundred fifteen thousand, forty".