64129131 has 32 divisors (see below), whose sum is σ = 104163840. Its totient is φ = 38671200.

The previous prime is 64129127. The next prime is 64129141. The reversal of 64129131 is 13192146.

64129131 is a `hidden beast` number, since 641 + 2 + 9 + 13 + 1 = 666.

64129131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 64129131 - 2² = 64129127 is a prime.

It is a super-2 number, since 2×64129131² = 8225090885630322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 64129095 and 64129104.

It is not an unprimeable number, because it can be changed into a prime (64129141) 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 31 ways as a sum of consecutive naturals, for example, 77701 + ... + 78521.

It is an arithmetic number, because the mean of its divisors is an integer number (3255120).

Almost surely, 2^64129131 is an apocalyptic number.

64129131 is a deficient number, since it is larger than the sum of its proper divisors (40034709).

64129131 is a wasteful number, since it uses less digits than its factorization.

64129131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1098 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 64129131 is about 8008.0666206020. The cubic root of 64129131 is about 400.2688421859.

The spelling of 64129131 in words is "sixty-four million, one hundred twenty-nine thousand, one hundred thirty-one".