36145040 has 40 divisors (see below), whose sum is σ = 84508728. Its totient is φ = 14376960.

The previous prime is 36145037. The next prime is 36145051. The reversal of 36145040 is 4054163.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2458624 + 33686416 = 1568^2 + 5804^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 36144997 and 36145015.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14270 + ... + 16610.

Almost surely, 2^36145040 is an apocalyptic number.

It is an amenable number.

36145040 is an abundant number, since it is smaller than the sum of its proper divisors (48363688).

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

36145040 is a wasteful number, since it uses less digits than its factorization.

36145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 36145040 is about 6012.0745171696. The cubic root of 36145040 is about 330.6355673001.

The spelling of 36145040 in words is "thirty-six million, one hundred forty-five thousand, forty".