190148400 has 360 divisors, whose sum is σ = 755576640. Its totient is φ = 43868160.

The previous prime is 190148381. The next prime is 190148461. The reversal of 190148400 is 4841091.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 795481 + ... + 795719.

It is an arithmetic number, because the mean of its divisors is an integer number (2098824).

Almost surely, 2^190148400 is an apocalyptic number.

190148400 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 190148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377788320).

190148400 is an abundant number, since it is smaller than the sum of its proper divisors (565428240).

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

190148400 is a wasteful number, since it uses less digits than its factorization.

190148400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 190148400 is about 13789.4307351681. The cubic root of 190148400 is about 575.0393419836.

Adding to 190148400 its reverse (4841091), we get a palindrome (194989491).

The spelling of 190148400 in words is "one hundred ninety million, one hundred forty-eight thousand, four hundred".