643137120 has 144 divisors (see below), whose sum is σ = 2221560432. Its totient is φ = 169405440.

The previous prime is 643137119. The next prime is 643137161. The reversal of 643137120 is 21731346.

643137120 is a `hidden beast` number, since 643 + 1 + 3 + 7 + 12 + 0 = 666.

643137120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116830 + ... + 122210.

It is an arithmetic number, because the mean of its divisors is an integer number (15427503).

Almost surely, 2^643137120 is an apocalyptic number.

643137120 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 643137120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110780216).

643137120 is an abundant number, since it is smaller than the sum of its proper divisors (1578423312).

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

643137120 is a wasteful number, since it uses less digits than its factorization.

643137120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5485 (or 5474 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 643137120 is about 25360.1482645508. The cubic root of 643137120 is about 863.1796482928.

Adding to 643137120 its reverse (21731346), we get a palindrome (664868466).

The spelling of 643137120 in words is "six hundred forty-three million, one hundred thirty-seven thousand, one hundred twenty".