187981248 has 336 divisors, whose sum is σ = 656722080. Its totient is φ = 46964736.

The previous prime is 187981243. The next prime is 187981253. The reversal of 187981248 is 842189781.

It is an interprime number because it is at equal distance from previous prime (187981243) and next prime (187981253).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 187981197 and 187981206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187981243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3546790 + ... + 3546842.

It is an arithmetic number, because the mean of its divisors is an integer number (1954530).

Almost surely, 2^187981248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187981248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328361040).

187981248 is an abundant number, since it is smaller than the sum of its proper divisors (468740832).

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

187981248 is a wasteful number, since it uses less digits than its factorization.

187981248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its digits is 258048, while the sum is 48.

The square root of 187981248 is about 13710.6253686694. The cubic root of 187981248 is about 572.8463842051.

The spelling of 187981248 in words is "one hundred eighty-seven million, nine hundred eighty-one thousand, two hundred forty-eight".