194531040 has 144 divisors (see below), whose sum is σ = 724244976. Its totient is φ = 47155200.

The previous prime is 194531039. The next prime is 194531093. The reversal of 194531040 is 40135491.

194531040 is a `hidden beast` number, since 1 + 94 + 531 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 194530995 and 194531013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9700 + ... + 21980.

It is an arithmetic number, because the mean of its divisors is an integer number (5029479).

Almost surely, 2^194531040 is an apocalyptic number.

194531040 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 194531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362122488).

194531040 is an abundant number, since it is smaller than the sum of its proper divisors (529713936).

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

194531040 is a wasteful number, since it uses less digits than its factorization.

194531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12313 (or 12302 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 194531040 is about 13947.4384745013. The cubic root of 194531040 is about 579.4237638006.

The spelling of 194531040 in words is "one hundred ninety-four million, five hundred thirty-one thousand, forty".