190338120 has 256 divisors, whose sum is σ = 768268800. Its totient is φ = 40919040.

The previous prime is 190338119. The next prime is 190338139. The reversal of 190338120 is 21833091.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127780 + ... + 129260.

It is an arithmetic number, because the mean of its divisors is an integer number (3001050).

Almost surely, 2^190338120 is an apocalyptic number.

190338120 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 190338120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384134400).

190338120 is an abundant number, since it is smaller than the sum of its proper divisors (577930680).

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

190338120 is a wasteful number, since it uses less digits than its factorization.

190338120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 190338120 is about 13796.3082018343. The cubic root of 190338120 is about 575.2305263437.

The spelling of 190338120 in words is "one hundred ninety million, three hundred thirty-eight thousand, one hundred twenty".