187852896400 has 135 divisors (see below), whose sum is σ = 488997095691. Its totient is φ = 69319461120.

The previous prime is 187852896347. The next prime is 187852896457. The reversal of 187852896400 is 4698258781.

It is a happy number.

The square root of 187852896400 is 433420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 48419361936 + 139433534464 = 220044^2 + 373408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112688367 + ... + 112690033.

Almost surely, 2^187852896400 is an apocalyptic number.

187852896400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

187852896400 is the 433420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187852896400

187852896400 is an abundant number, since it is smaller than the sum of its proper divisors (301144199291).

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

187852896400 is an equidigital number, since it uses as much as digits as its factorization.

187852896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 58.

The spelling of 187852896400 in words is "one hundred eighty-seven billion, eight hundred fifty-two million, eight hundred ninety-six thousand, four hundred".