36141280 has 144 divisors (see below), whose sum is σ = 103680864. Its totient is φ = 11658240.

The previous prime is 36141277. The next prime is 36141289. The reversal of 36141280 is 8214163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36141289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 592450 + ... + 592510.

It is an arithmetic number, because the mean of its divisors is an integer number (720006).

Almost surely, 2^36141280 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 36141280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840432).

36141280 is an abundant number, since it is smaller than the sum of its proper divisors (67539584).

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

36141280 is a wasteful number, since it uses less digits than its factorization.

36141280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 36141280 is about 6011.7618049953. The cubic root of 36141280 is about 330.6241020770.

The spelling of 36141280 in words is "thirty-six million, one hundred forty-one thousand, two hundred eighty".