63150120 has 192 divisors, whose sum is σ = 230480640. Its totient is φ = 14860800.

The previous prime is 63150097. The next prime is 63150161. The reversal of 63150120 is 2105136.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 63150093 and 63150102.

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 47 ways as a sum of consecutive naturals, for example, 146305 + ... + 146735.

It is an arithmetic number, because the mean of its divisors is an integer number (1200420).

Almost surely, 2^63150120 is an apocalyptic number.

63150120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63150120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115240320).

63150120 is an abundant number, since it is smaller than the sum of its proper divisors (167330520).

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

63150120 is a wasteful number, since it uses less digits than its factorization.

63150120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 63150120 is about 7946.7049775363. The cubic root of 63150120 is about 398.2215209164.

Adding to 63150120 its reverse (2105136), we get a palindrome (65255256).

The spelling of 63150120 in words is "sixty-three million, one hundred fifty thousand, one hundred twenty".