576137952 has 144 divisors (see below), whose sum is σ = 1812545280. Its totient is φ = 172440576.

The previous prime is 576137929. The next prime is 576137959. The reversal of 576137952 is 259731675.

576137952 is a `hidden beast` number, since 576 + 1 + 3 + 79 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 576137898 and 576137907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (576137959) 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, 136449 + ... + 140607.

It is an arithmetic number, because the mean of its divisors is an integer number (12587120).

Almost surely, 2^576137952 is an apocalyptic number.

576137952 is a gapful number since it is divisible by the number (52) 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 576137952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906272640).

576137952 is an abundant number, since it is smaller than the sum of its proper divisors (1236407328).

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

576137952 is a wasteful number, since it uses less digits than its factorization.

576137952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225 (or 4214 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 576137952 is about 24002.8738279399. The cubic root of 576137952 is about 832.0999479287.

The spelling of 576137952 in words is "five hundred seventy-six million, one hundred thirty-seven thousand, nine hundred fifty-two".