64132900 has 36 divisors (see below), whose sum is σ = 149876692. Its totient is φ = 23679360.

The previous prime is 64132867. The next prime is 64132903. The reversal of 64132900 is 923146.

64132900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 36864 + 64096036 = 192^2 + 8006^2 .

It is a super-2 number, since 2×64132900² = 8226057724820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (64132903) 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 11 ways as a sum of consecutive naturals, for example, 23367 + ... + 25966.

Almost surely, 2^64132900 is an apocalyptic number.

It is an amenable number.

64132900 is an abundant number, since it is smaller than the sum of its proper divisors (85743792).

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

64132900 is a wasteful number, since it uses less digits than its factorization.

64132900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49360 (or 49353 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 64132900 is about 8008.3019423596. The cubic root of 64132900 is about 400.2766835714.

The spelling of 64132900 in words is "sixty-four million, one hundred thirty-two thousand, nine hundred".