193145040 has 240 divisors, whose sum is σ = 732244800. Its totient is φ = 46759680.

The previous prime is 193145039. The next prime is 193145047. The reversal of 193145040 is 40541391.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 193144995 and 193145013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193145047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 260991 + ... + 261729.

It is an arithmetic number, because the mean of its divisors is an integer number (3051020).

Almost surely, 2^193145040 is an apocalyptic number.

193145040 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 193145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366122400).

193145040 is an abundant number, since it is smaller than the sum of its proper divisors (539099760).

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

193145040 is a wasteful number, since it uses less digits than its factorization.

193145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 760 counting only the distinct ones).

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

The square root of 193145040 is about 13897.6631129122. The cubic root of 193145040 is about 578.0443846298.

It can be divided in two parts, 1931 and 45040, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 193145040 in words is "one hundred ninety-three million, one hundred forty-five thousand, forty".