193149440 has 160 divisors (see below), whose sum is σ = 533269440. Its totient is φ = 66539520.

The previous prime is 193149433. The next prime is 193149449. The reversal of 193149440 is 44941391.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 193149440.

It is not an unprimeable number, because it can be changed into a prime (193149449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10165751 + ... + 10165769.

It is an arithmetic number, because the mean of its divisors is an integer number (3332934).

Almost surely, 2^193149440 is an apocalyptic number.

193149440 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 193149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266634720).

193149440 is an abundant number, since it is smaller than the sum of its proper divisors (340120000).

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

193149440 is an frugal number, since it uses more digits than its factorization.

193149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 193149440 is about 13897.8214120056. The cubic root of 193149440 is about 578.0487740357.

The spelling of 193149440 in words is "one hundred ninety-three million, one hundred forty-nine thousand, four hundred forty".