193145904 has 160 divisors (see below), whose sum is σ = 661386240. Its totient is φ = 52766208.

The previous prime is 193145899. The next prime is 193145923. The reversal of 193145904 is 409541391.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 68164 + ... + 70940.

It is an arithmetic number, because the mean of its divisors is an integer number (4133664).

Almost surely, 2^193145904 is an apocalyptic number.

193145904 is a gapful number since it is divisible by the number (14) 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 193145904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330693120).

193145904 is an abundant number, since it is smaller than the sum of its proper divisors (468240336).

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

193145904 is a wasteful number, since it uses less digits than its factorization.

193145904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 193145904 is about 13897.6941972401. The cubic root of 193145904 is about 578.0452465547.

The spelling of 193145904 in words is "one hundred ninety-three million, one hundred forty-five thousand, nine hundred four".