147537 has 18 divisors (see below), whose sum is σ = 233142. Its totient is φ = 89856.

The previous prime is 147517. The next prime is 147541. The reversal of 147537 is 735741.

It can be written as a sum of positive squares in 3 ways, for example, as 81 + 147456 = 9^2 + 384^2 .

It is not a de Polignac number, because 147537 - 2⁷ = 147409 is a prime.

It is a cake number, because a cake can be divided into 147537 parts by 96 planar cuts.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 147537.

It is not an unprimeable number, because it can be changed into a prime (147517) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1473 + ... + 1569.

2¹⁴⁷⁵³⁷ is an apocalyptic number.

It is an amenable number.

147537 is a deficient number, since it is larger than the sum of its proper divisors (85605).

147537 is a wasteful number, since it uses less digits than its factorization.

147537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 147537 is about 384.1054542700. The cubic root of 147537 is about 52.8405078265.

The spelling of 147537 in words is "one hundred forty-seven thousand, five hundred thirty-seven".