146909952 has 108 divisors (see below), whose sum is σ = 484141840. Its totient is φ = 41969664.

The previous prime is 146909951. The next prime is 146909953. The reversal of 146909952 is 259909641.

It is an interprime number because it is at equal distance from previous prime (146909951) and next prime (146909953).

It is a junction number, because it is equal to n+sod(n) for n = 146909898 and 146909907.

It is not an unprimeable number, because it can be changed into a prime (146909951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11574 + ... + 20682.

Almost surely, 2^146909952 is an apocalyptic number.

146909952 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 146909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242070920).

146909952 is an abundant number, since it is smaller than the sum of its proper divisors (337231888).

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

146909952 is an equidigital number, since it uses as much as digits as its factorization.

146909952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9138 (or 9121 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 146909952 is about 12120.6415671779. The cubic root of 146909952 is about 527.6554225576.

It can be divided in two parts, 14690 and 9952, that added together give a palindrome (24642).

The spelling of 146909952 in words is "one hundred forty-six million, nine hundred nine thousand, nine hundred fifty-two".