146864952 has 192 divisors, whose sum is σ = 454053600. Its totient is φ = 42577920.

The previous prime is 146864941. The next prime is 146864953. The reversal of 146864952 is 259468641.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 146864898 and 146864907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146864953) 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 47 ways as a sum of consecutive naturals, for example, 1650124 + ... + 1650212.

Almost surely, 2^146864952 is an apocalyptic number.

146864952 is a gapful number since it is divisible by the number (12) 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 146864952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227026800).

146864952 is an abundant number, since it is smaller than the sum of its proper divisors (307188648).

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

146864952 is a wasteful number, since it uses less digits than its factorization.

146864952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 146864952 is about 12118.7850876233. The cubic root of 146864952 is about 527.6015416632.

The spelling of 146864952 in words is "one hundred forty-six million, eight hundred sixty-four thousand, nine hundred fifty-two".