146768440 has 128 divisors (see below), whose sum is σ = 413723520. Its totient is φ = 45619200.

The previous prime is 146768399. The next prime is 146768443. The reversal of 146768440 is 44867641.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 146768393 and 146768402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146768443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 221710 + ... + 222370.

It is an arithmetic number, because the mean of its divisors is an integer number (3232215).

Almost surely, 2^146768440 is an apocalyptic number.

146768440 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 146768440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206861760).

146768440 is an abundant number, since it is smaller than the sum of its proper divisors (266955080).

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

146768440 is a wasteful number, since it uses less digits than its factorization.

146768440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 146768440 is about 12114.8025159307. The cubic root of 146768440 is about 527.4859455836.

The spelling of 146768440 in words is "one hundred forty-six million, seven hundred sixty-eight thousand, four hundred forty".