138753072 has 60 divisors (see below), whose sum is σ = 393263520. Its totient is φ = 45661824.

The previous prime is 138753059. The next prime is 138753077. The reversal of 138753072 is 270357831.

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 (138753077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5278 + ... + 17474.

It is an arithmetic number, because the mean of its divisors is an integer number (6554392).

Almost surely, 2^138753072 is an apocalyptic number.

138753072 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 138753072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196631760).

138753072 is an abundant number, since it is smaller than the sum of its proper divisors (254510448).

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

138753072 is a wasteful number, since it uses less digits than its factorization.

138753072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12290 (or 12281 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 138753072 is about 11779.3493878058. The cubic root of 138753072 is about 517.7032234109.

The spelling of 138753072 in words is "one hundred thirty-eight million, seven hundred fifty-three thousand, seventy-two".