146815752 has 64 divisors (see below), whose sum is σ = 388200960. Its totient is φ = 46195200.

The previous prime is 146815727. The next prime is 146815759. The reversal of 146815752 is 257518641.

It is a self number, because there is not a number n which added to its sum of digits gives 146815752.

It is not an unprimeable number, because it can be changed into a prime (146815759) 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, 28098 + ... + 32910.

It is an arithmetic number, because the mean of its divisors is an integer number (6065640).

Almost surely, 2^146815752 is an apocalyptic number.

146815752 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 146815752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194100480).

146815752 is an abundant number, since it is smaller than the sum of its proper divisors (241385208).

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

146815752 is a wasteful number, since it uses less digits than its factorization.

146815752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4890 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 146815752 is about 12116.7550111406. The cubic root of 146815752 is about 527.5426192888.

The spelling of 146815752 in words is "one hundred forty-six million, eight hundred fifteen thousand, seven hundred fifty-two".