190997125200 has 840 divisors, whose sum is σ = 793174465728. Its totient is φ = 43274373120.

The previous prime is 190997125171. The next prime is 190997125201. The reversal of 190997125200 is 2521799091.

It is a tau number, because it is divible by the number of its divisors (840).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190997125201) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 279644059 + ... + 279644741.

Almost surely, 2^190997125200 is an apocalyptic number.

190997125200 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 190997125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396587232864).

190997125200 is an abundant number, since it is smaller than the sum of its proper divisors (602177340528).

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

190997125200 is a wasteful number, since it uses less digits than its factorization.

190997125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 190997125200 in words is "one hundred ninety billion, nine hundred ninety-seven million, one hundred twenty-five thousand, two hundred".