147752 has 32 divisors (see below), whose sum is σ = 319680. Its totient is φ = 63360.

The previous prime is 147743. The next prime is 147761. The reversal of 147752 is 257741.

It is an interprime number because it is at equal distance from previous prime (147743) and next prime (147761).

It is a d-powerful number, because it can be written as 1 + 4⁷ + 7⁴ + 7⁶ + 5⁵ + 2¹³ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147752.

It is an unprimeable number.

147752 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 7 ways as a sum of consecutive naturals, for example, 1988 + ... + 2060.

It is an arithmetic number, because the mean of its divisors is an integer number (9990).

2¹⁴⁷⁷⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159840).

147752 is an abundant number, since it is smaller than the sum of its proper divisors (171928).

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

147752 is a wasteful number, since it uses less digits than its factorization.

147752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

The product of its digits is 1960, while the sum is 26.

The square root of 147752 is about 384.3852234413. The cubic root of 147752 is about 52.8661628490.

The spelling of 147752 in words is "one hundred forty-seven thousand, seven hundred fifty-two".