642115152 has 120 divisors (see below), whose sum is σ = 2120102400. Its totient is φ = 177534720.

The previous prime is 642115151. The next prime is 642115157. The reversal of 642115152 is 251511246.

642115152 is a `hidden beast` number, since 642 + 1 + 1 + 5 + 15 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642115151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20974 + ... + 41522.

It is an arithmetic number, because the mean of its divisors is an integer number (17667520).

Almost surely, 2^642115152 is an apocalyptic number.

642115152 is a gapful number since it is divisible by the number (62) 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 642115152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060051200).

642115152 is an abundant number, since it is smaller than the sum of its proper divisors (1477987248).

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

642115152 is a wasteful number, since it uses less digits than its factorization.

642115152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20601 (or 20592 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 642115152 is about 25339.9911602195. The cubic root of 642115152 is about 862.7221980767.

Adding to 642115152 its reverse (251511246), we get a palindrome (893626398).

The spelling of 642115152 in words is "six hundred forty-two million, one hundred fifteen thousand, one hundred fifty-two".