187138054656 has 240 divisors, whose sum is σ = 618315407424. Its totient is φ = 53375680512.

The previous prime is 187138054633. The next prime is 187138054687. The reversal of 187138054656 is 656450831781.

It is a happy number.

187138054656 is a `hidden beast` number, since 1 + 8 + 7 + 13 + 80 + 546 + 5 + 6 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19897251 + ... + 19906653.

Almost surely, 2^187138054656 is an apocalyptic number.

187138054656 is a gapful number since it is divisible by the number (16) 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 187138054656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309157703712).

187138054656 is an abundant number, since it is smaller than the sum of its proper divisors (431177352768).

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

187138054656 is an equidigital number, since it uses as much as digits as its factorization.

187138054656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10051 (or 10032 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 187138054656 in words is "one hundred eighty-seven billion, one hundred thirty-eight million, fifty-four thousand, six hundred fifty-six".