147152 has 20 divisors (see below), whose sum is σ = 302436. Its totient is φ = 69120.

The previous prime is 147151. The next prime is 147163. The reversal of 147152 is 251741.

147152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 87616 + 59536 = 296^2 + 244^2 .

It is a super-2 number, since 2×147152² = 43307422208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2 + ... + 542.

2¹⁴⁷¹⁵² 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 147152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151218).

147152 is an abundant number, since it is smaller than the sum of its proper divisors (155284).

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

147152 is a wasteful number, since it uses less digits than its factorization.

147152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 560 counting only the distinct ones).

The product of its digits is 280, while the sum is 20.

The square root of 147152 is about 383.6039624404. The cubic root of 147152 is about 52.7945050909.

Adding to 147152 its reverse (251741), we get a palindrome (398893).

It can be divided in two parts, 14 and 7152, that multiplied together give a triangular number (100128 = T₄₄₇).

The spelling of 147152 in words is "one hundred forty-seven thousand, one hundred fifty-two".