138793032 has 192 divisors, whose sum is σ = 462309120. Its totient is φ = 36716544.

The previous prime is 138793027. The next prime is 138793037. The reversal of 138793032 is 230397831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138793027) and next prime (138793037).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (138793037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 831013 + ... + 831179.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 2^138793032 is an apocalyptic number.

138793032 is a gapful number since it is divisible by the number (12) 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 138793032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

138793032 is an abundant number, since it is smaller than the sum of its proper divisors (323516088).

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

138793032 is a wasteful number, since it uses less digits than its factorization.

138793032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 138793032 is about 11781.0454544578. The cubic root of 138793032 is about 517.7529170498.

It can be divided in two parts, 138 and 793032, that added together give a triangular number (793170 = T₁₂₅₉).

The spelling of 138793032 in words is "one hundred thirty-eight million, seven hundred ninety-three thousand, thirty-two".