120537 has 12 divisors (see below), whose sum is σ = 177840. Its totient is φ = 78648.

The previous prime is 120511. The next prime is 120539. The reversal of 120537 is 735021.

It is not a de Polignac number, because 120537 - 2⁶ = 120473 is a prime.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 120537.

It is not an unprimeable number, because it can be changed into a prime (120539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 418 + ... + 644.

It is an arithmetic number, because the mean of its divisors is an integer number (14820).

2¹²⁰⁵³⁷ is an apocalyptic number.

It is an amenable number.

120537 is a deficient number, since it is larger than the sum of its proper divisors (57303).

120537 is a wasteful number, since it uses less digits than its factorization.

120537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 120537 is about 347.1843890500. The cubic root of 120537 is about 49.3977073357.

Adding to 120537 its reverse (735021), we get a palindrome (855558).

The spelling of 120537 in words is "one hundred twenty thousand, five hundred thirty-seven".