146752 has 14 divisors (see below), whose sum is σ = 291338. Its totient is φ = 73344.

The previous prime is 146749. The next prime is 146767. The reversal of 146752 is 257641.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 33856 = 336^2 + 184^2 .

It is a super-2 number, since 2×146752² = 43072299008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1083 + ... + 1210.

2¹⁴⁶⁷⁵² is an apocalyptic number.

It is an amenable number.

146752 is a deficient number, since it is larger than the sum of its proper divisors (144586).

146752 is an equidigital number, since it uses as much as digits as its factorization.

146752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2295 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 146752 is about 383.0822366020. The cubic root of 146752 is about 52.7466249722.

Subtracting 146752 from its reverse (257641), we obtain a square (110889 = 333²).

It can be divided in two parts, 146 and 752, that added together give a palindrome (898).

The spelling of 146752 in words is "one hundred forty-six thousand, seven hundred fifty-two".