148752 has 30 divisors (see below), whose sum is σ = 416702. Its totient is φ = 49536.

The previous prime is 148747. The next prime is 148763. The reversal of 148752 is 257841.

It can be written as a sum of positive squares in only one way, i.e., 147456 + 1296 = 384^2 + 36^2 .

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 148752.

It is an unprimeable number.

148752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 373 + ... + 660.

2¹⁴⁸⁷⁵² is an apocalyptic number.

148752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148752 is an abundant number, since it is smaller than the sum of its proper divisors (267950).

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

148752 is a wasteful number, since it uses less digits than its factorization.

148752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1038 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 148752 is about 385.6838083197. The cubic root of 148752 is about 52.9851625726.

It can be divided in two parts, 148 and 752, that added together give a square (900 = 30²).

The spelling of 148752 in words is "one hundred forty-eight thousand, seven hundred fifty-two".