199148880 has 320 divisors, whose sum is σ = 788520960. Its totient is φ = 40476672.

The previous prime is 199148879. The next prime is 199148903. The reversal of 199148880 is 88841991.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 542457 + ... + 542823.

It is an arithmetic number, because the mean of its divisors is an integer number (2464128).

Almost surely, 2^199148880 is an apocalyptic number.

199148880 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 199148880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394260480).

199148880 is an abundant number, since it is smaller than the sum of its proper divisors (589372080).

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

199148880 is a wasteful number, since it uses less digits than its factorization.

199148880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 48.

The square root of 199148880 is about 14112.0119047569. The cubic root of 199148880 is about 583.9728047635.

It can be divided in two parts, 199148 and 880, that added together give a triangular number (200028 = T₆₃₂).

The spelling of 199148880 in words is "one hundred ninety-nine million, one hundred forty-eight thousand, eight hundred eighty".