197766144 has 176 divisors, whose sum is σ = 613117440. Its totient is φ = 62853120.

The previous prime is 197766139. The next prime is 197766187. The reversal of 197766144 is 441667791.

It is a super-2 number, since 2×197766144² = 78222895425257472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 197766144.

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 15 ways as a sum of consecutive naturals, for example, 635749 + ... + 636059.

Almost surely, 2^197766144 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 197766144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306558720).

197766144 is an abundant number, since it is smaller than the sum of its proper divisors (415351296).

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

197766144 is a wasteful number, since it uses less digits than its factorization.

197766144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 339 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 197766144 is about 14062.9351132685. The cubic root of 197766144 is about 582.6181125652.

It can be divided in two parts, 1977 and 66144, that added together give a square (68121 = 261²).

The spelling of 197766144 in words is "one hundred ninety-seven million, seven hundred sixty-six thousand, one hundred forty-four".