138764448 has 192 divisors, whose sum is σ = 435456000. Its totient is φ = 42861312.

The previous prime is 138764443. The next prime is 138764453. The reversal of 138764448 is 844467831.

138764448 is a `hidden beast` number, since 138 + 76 + 4 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (138764443) and next prime (138764453).

Its product of digits (516096) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (138764443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1296811 + ... + 1296917.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2^138764448 is an apocalyptic number.

138764448 is a gapful number since it is divisible by the number (18) 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 138764448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

138764448 is an abundant number, since it is smaller than the sum of its proper divisors (296691552).

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

138764448 is a wasteful number, since it uses less digits than its factorization.

138764448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 138764448 is about 11779.8322568702. The cubic root of 138764448 is about 517.7173714002.

The spelling of 138764448 in words is "one hundred thirty-eight million, seven hundred sixty-four thousand, four hundred forty-eight".