63150 has 24 divisors (see below), whose sum is σ = 156984. Its totient is φ = 16800.

The previous prime is 63149. The next prime is 63179. The reversal of 63150 is 5136.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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, 61 + ... + 360.

It is an arithmetic number, because the mean of its divisors is an integer number (6541).

2⁶³¹⁵⁰ is an apocalyptic number.

63150 is an abundant number, since it is smaller than the sum of its proper divisors (93834).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78492).

63150 is a wasteful number, since it uses less digits than its factorization.

63150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 63150 is about 251.2966374626. The cubic root of 63150 is about 39.8221268678.

Adding to 63150 its reverse (5136), we get a palindrome (68286).

The spelling of 63150 in words is "sixty-three thousand, one hundred fifty".