138033720 has 192 divisors, whose sum is σ = 507911040. Its totient is φ = 33436800.

The previous prime is 138033703. The next prime is 138033737. The reversal of 138033720 is 27330831.

138033720 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (138033703) and next prime (138033737).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106275 + ... + 107565.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 2^138033720 is an apocalyptic number.

138033720 is a gapful number since it is divisible by the number (10) 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 138033720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253955520).

138033720 is an abundant number, since it is smaller than the sum of its proper divisors (369877320).

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

138033720 is a wasteful number, since it uses less digits than its factorization.

138033720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 138033720 is about 11748.7752553192. The cubic root of 138033720 is about 516.8070119373.

The spelling of 138033720 in words is "one hundred thirty-eight million, thirty-three thousand, seven hundred twenty".