198133776 has 225 divisors, whose sum is σ = 636811021. Its totient is φ = 59457024.

The previous prime is 198133763. The next prime is 198133783. The reversal of 198133776 is 677331891.

The square root of 198133776 is 14076.

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

It can be written as a sum of positive squares in only one way, i.e., 154256400 + 43877376 = 12420^2 + 6624^2 .

It is a super-3 number, since 3×198133776³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8614501 + ... + 8614523.

Almost surely, 2^198133776 is an apocalyptic number.

198133776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

198133776 is the 14076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198133776

198133776 is an abundant number, since it is smaller than the sum of its proper divisors (438677245).

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

198133776 is a wasteful number, since it uses less digits than its factorization.

198133776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 45 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The cubic root of 198133776 is about 582.9789031336.

The spelling of 198133776 in words is "one hundred ninety-eight million, one hundred thirty-three thousand, seven hundred seventy-six".