187142307840 has 816 divisors, whose sum is σ = 706650946560. Its totient is φ = 45675970560.

The previous prime is 187142307829. The next prime is 187142307851. The reversal of 187142307840 is 48703241781.

187142307840 is a `hidden beast` number, since 187 + 1 + 423 + 0 + 7 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (187142307829) and next prime (187142307851).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2102722516 + ... + 2102722604.

Almost surely, 2^187142307840 is an apocalyptic number.

187142307840 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 187142307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353325473280).

187142307840 is an abundant number, since it is smaller than the sum of its proper divisors (519508638720).

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

187142307840 is an equidigital number, since it uses as much as digits as its factorization.

187142307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 187142307840 in words is "one hundred eighty-seven billion, one hundred forty-two million, three hundred seven thousand, eight hundred forty".