36129250 has 32 divisors (see below), whose sum is σ = 71620848. Its totient is φ = 13600000.

The previous prime is 36129221. The next prime is 36129257. The reversal of 36129250 is 5292163.

36129250 is a nontrivial binomial coefficient, being equal to C(8501, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 237169 + 35892081 = 487^2 + 5991^2 .

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (36129257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 8500.

Almost surely, 2^36129250 is an apocalyptic number.

36129250 is the 8500-th triangular number.

36129250 is the 2834-th centered nonagonal number.

36129250 is a deficient number, since it is larger than the sum of its proper divisors (35491598).

36129250 is a wasteful number, since it uses less digits than its factorization.

36129250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8535 (or 8525 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 36129250 is about 6010.7611830782. The cubic root of 36129250 is about 330.5874141185.

It can be divided in two parts, 36 and 129250, that added together give a triangular number (129286 = T₅₀₈).

The spelling of 36129250 in words is "thirty-six million, one hundred twenty-nine thousand, two hundred fifty".