129564036 has 90 divisors (see below), whose sum is σ = 394053198. Its totient is φ = 37013760.

The previous prime is 129563999. The next prime is 129564073. The reversal of 129564036 is 630465921.

It is a happy number.

129564036 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 640 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (129563999) and next prime (129564073).

It can be written as a sum of positive squares in only one way, i.e., 104162436 + 25401600 = 10206^2 + 5040^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11796 + ... + 19956.

Almost surely, 2^129564036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129564036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197026599).

129564036 is an abundant number, since it is smaller than the sum of its proper divisors (264489162).

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

129564036 is a wasteful number, since it uses less digits than its factorization.

129564036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8191 (or 8173 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 129564036 is about 11382.6199093179. The cubic root of 129564036 is about 506.0127843375.

The spelling of 129564036 in words is "one hundred twenty-nine million, five hundred sixty-four thousand, thirty-six".