63141120 has 432 divisors, whose sum is σ = 267845760. Its totient is φ = 13934592.

The previous prime is 63141119. The next prime is 63141181. The reversal of 63141120 is 2114136.

It is a happy number.

63141120 is a `hidden beast` number, since 631 + 4 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 63141093 and 63141102.

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 47 ways as a sum of consecutive naturals, for example, 2177266 + ... + 2177294.

Almost surely, 2^63141120 is an apocalyptic number.

63141120 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 63141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133922880).

63141120 is an abundant number, since it is smaller than the sum of its proper divisors (204704640).

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

63141120 is an equidigital number, since it uses as much as digits as its factorization.

63141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 63141120 is about 7946.1386849211. The cubic root of 63141120 is about 398.2026021666.

Adding to 63141120 its reverse (2114136), we get a palindrome (65255256).

The spelling of 63141120 in words is "sixty-three million, one hundred forty-one thousand, one hundred twenty".