36133140 has 48 divisors (see below), whose sum is σ = 101529792. Its totient is φ = 9601536.

The previous prime is 36133133. The next prime is 36133169. The reversal of 36133140 is 4133163.

It is a super-3 number, since 3×36133140³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19327 + ... + 21113.

It is an arithmetic number, because the mean of its divisors is an integer number (2115204).

Almost surely, 2^36133140 is an apocalyptic number.

36133140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36133140 is an abundant number, since it is smaller than the sum of its proper divisors (65396652).

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

36133140 is a wasteful number, since it uses less digits than its factorization.

36133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 36133140 is about 6011.0847606734. The cubic root of 36133140 is about 330.5992783641.

The spelling of 36133140 in words is "thirty-six million, one hundred thirty-three thousand, one hundred forty".