146733468 has 96 divisors (see below), whose sum is σ = 416295936. Its totient is φ = 39316992.

The previous prime is 146733467. The next prime is 146733469. The reversal of 146733468 is 864337641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (146733467) and next prime (146733469).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146733463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101680 + ... + 103112.

It is an arithmetic number, because the mean of its divisors is an integer number (4336416).

Almost surely, 2^146733468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146733468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208147968).

146733468 is an abundant number, since it is smaller than the sum of its proper divisors (269562468).

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

146733468 is a wasteful number, since it uses less digits than its factorization.

146733468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1521 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 146733468 is about 12113.3590717026. The cubic root of 146733468 is about 527.4440457858. Note that the first 3 decimals are identical.

The spelling of 146733468 in words is "one hundred forty-six million, seven hundred thirty-three thousand, four hundred sixty-eight".