36141480 has 48 divisors (see below), whose sum is σ = 117460980. Its totient is φ = 9637632.

The previous prime is 36141433. The next prime is 36141481. The reversal of 36141480 is 8414163.

36141480 is a `hidden beast` number, since 3 + 614 + 1 + 48 + 0 = 666.

36141480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35928036 + 213444 = 5994^2 + 462^2 .

It is not an unprimeable number, because it can be changed into a prime (36141481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49837 + ... + 50556.

Almost surely, 2^36141480 is an apocalyptic number.

36141480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36141480 is an abundant number, since it is smaller than the sum of its proper divisors (81319500).

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

36141480 is a wasteful number, since it uses less digits than its factorization.

36141480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100410 (or 100403 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 36141480 is about 6011.7784390312. The cubic root of 36141480 is about 330.6247119493.

The spelling of 36141480 in words is "thirty-six million, one hundred forty-one thousand, four hundred eighty".