197145600 has 264 divisors, whose sum is σ = 694473408. Its totient is φ = 49152000.

The previous prime is 197145593. The next prime is 197145631. The reversal of 197145600 is 6541791.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1305525 + ... + 1305675.

Almost surely, 2^197145600 is an apocalyptic number.

197145600 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 197145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347236704).

197145600 is an abundant number, since it is smaller than the sum of its proper divisors (497327808).

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

197145600 is a wasteful number, since it uses less digits than its factorization.

197145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 197145600 is about 14040.8546748408. The cubic root of 197145600 is about 582.0081008780.

The spelling of 197145600 in words is "one hundred ninety-seven million, one hundred forty-five thousand, six hundred".