36202140 has 168 divisors, whose sum is σ = 123395328. Its totient is φ = 8864640.

The previous prime is 36202123. The next prime is 36202147. The reversal of 36202140 is 4120263.

It is a happy number.

36202140 is a `hidden beast` number, since 3 + 620 + 2 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36202147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 189445 + ... + 189635.

It is an arithmetic number, because the mean of its divisors is an integer number (734496).

Almost surely, 2^36202140 is an apocalyptic number.

36202140 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 36202140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61697664).

36202140 is an abundant number, since it is smaller than the sum of its proper divisors (87193188).

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

36202140 is a wasteful number, since it uses less digits than its factorization.

36202140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 36202140 is about 6016.8214199858. The cubic root of 36202140 is about 330.8095824910.

The spelling of 36202140 in words is "thirty-six million, two hundred two thousand, one hundred forty".