32138040 has 128 divisors (see below), whose sum is σ = 106686720. Its totient is φ = 7680000.

The previous prime is 32138027. The next prime is 32138059. The reversal of 32138040 is 4083123.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32137998 and 32138016.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 127915 + ... + 128165.

It is an arithmetic number, because the mean of its divisors is an integer number (833490).

Almost surely, 2^32138040 is an apocalyptic number.

32138040 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 32138040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53343360).

32138040 is an abundant number, since it is smaller than the sum of its proper divisors (74548680).

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

32138040 is a wasteful number, since it uses less digits than its factorization.

32138040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 32138040 is about 5669.0422471525. The cubic root of 32138040 is about 317.9360656247.

The spelling of 32138040 in words is "thirty-two million, one hundred thirty-eight thousand, forty".