36144900 has 144 divisors (see below), whose sum is σ = 126866880. Its totient is φ = 8755200.

The previous prime is 36144827. The next prime is 36144917. The reversal of 36144900 is 944163.

36144900 = T₃₀₁ + T₃₀₂ + ... + T₆₂₄.

36144900 is a `hidden beast` number, since 3 + 614 + 49 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29092 + ... + 30308.

It is an arithmetic number, because the mean of its divisors is an integer number (881020).

Almost surely, 2^36144900 is an apocalyptic number.

36144900 is a gapful number since it is divisible by the number (30) 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 36144900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63433440).

36144900 is an abundant number, since it is smaller than the sum of its proper divisors (90721980).

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

36144900 is a wasteful number, since it uses less digits than its factorization.

36144900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 36144900 is about 6012.0628739227. The cubic root of 36144900 is about 330.6351404177.

The spelling of 36144900 in words is "thirty-six million, one hundred forty-four thousand, nine hundred".