198146752 has 56 divisors (see below), whose sum is σ = 407365200. Its totient is φ = 95563776.

The previous prime is 198146693. The next prime is 198146777. The reversal of 198146752 is 257641891.

It is a super-3 number, since 3×198146752³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a junction number, because it is equal to n+sod(n) for n = 198146699 and 198146708.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244524 + ... + 245332.

Almost surely, 2^198146752 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 198146752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203682600).

198146752 is an abundant number, since it is smaller than the sum of its proper divisors (209218448).

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

198146752 is an equidigital number, since it uses as much as digits as its factorization.

198146752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 943 counting only the distinct ones).

The product of its digits is 120960, while the sum is 43.

The square root of 198146752 is about 14076.4609188531. The cubic root of 198146752 is about 582.9916295001.

198146752 divided by its sum of digits (43) gives a palindrome (4608064).

The spelling of 198146752 in words is "one hundred ninety-eight million, one hundred forty-six thousand, seven hundred fifty-two".