147536 has 10 divisors (see below), whose sum is σ = 285882. Its totient is φ = 73760.

The previous prime is 147517. The next prime is 147541. The reversal of 147536 is 635741.

It can be written as a sum of positive squares in only one way, i.e., 144400 + 3136 = 380^2 + 56^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147536.

It is an unprimeable number.

147536 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 as a sum of consecutive naturals, namely, 4595 + ... + 4626.

2¹⁴⁷⁵³⁶ is an apocalyptic number.

147536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

147536 is a deficient number, since it is larger than the sum of its proper divisors (138346).

147536 is an equidigital number, since it uses as much as digits as its factorization.

147536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9229 (or 9223 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 147536 is about 384.1041525420. The cubic root of 147536 is about 52.8403884426.

The spelling of 147536 in words is "one hundred forty-seven thousand, five hundred thirty-six".