197148672 has 180 divisors, whose sum is σ = 654291456. Its totient is φ = 56033280.

The previous prime is 197148671. The next prime is 197148697. The reversal of 197148672 is 276841791.

It is a happy number.

197148672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (197148671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1032097 + ... + 1032287.

Almost surely, 2^197148672 is an apocalyptic number.

197148672 is a gapful number since it is divisible by the number (12) 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 197148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327145728).

197148672 is an abundant number, since it is smaller than the sum of its proper divisors (457142784).

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

197148672 is an equidigital number, since it uses as much as digits as its factorization.

197148672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 203 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 197148672 is about 14040.9640694647. The cubic root of 197148672 is about 582.0111238884.

The spelling of 197148672 in words is "one hundred ninety-seven million, one hundred forty-eight thousand, six hundred seventy-two".