147528 has 32 divisors (see below), whose sum is σ = 410400. Its totient is φ = 49104.

The previous prime is 147517. The next prime is 147541. The reversal of 147528 is 825741.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147528.

It is an unprimeable number.

147528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126 + ... + 557.

It is an arithmetic number, because the mean of its divisors is an integer number (12825).

147528 is a Friedman number, since it can be written as (8+4^7)*(5*2-1), using all its digits and the basic arithmetic operations.

2¹⁴⁷⁵²⁸ is an apocalyptic number.

147528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

147528 is an abundant number, since it is smaller than the sum of its proper divisors (262872).

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

147528 is a wasteful number, since it uses less digits than its factorization.

147528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 688 counting only the distinct ones).

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

The square root of 147528 is about 384.0937385587. The cubic root of 147528 is about 52.8394333520.

The spelling of 147528 in words is "one hundred forty-seven thousand, five hundred twenty-eight".