138264672 has 384 divisors, whose sum is σ = 508032000. Its totient is φ = 32514048.

The previous prime is 138264631. The next prime is 138264677. The reversal of 138264672 is 276462831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 138264672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138264677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7277079 + ... + 7277097.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 2^138264672 is an apocalyptic number.

138264672 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 138264672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016000).

138264672 is an abundant number, since it is smaller than the sum of its proper divisors (369767328).

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

138264672 is a wasteful number, since it uses less digits than its factorization.

138264672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 61 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 138264672 is about 11758.5999166567. The cubic root of 138264672 is about 517.0950843176.

The spelling of 138264672 in words is "one hundred thirty-eight million, two hundred sixty-four thousand, six hundred seventy-two".