138748424256 has 224 divisors, whose sum is σ = 440349436800. Its totient is φ = 42587043840.

The previous prime is 138748424237. The next prime is 138748424257. The reversal of 138748424256 is 652424847831.

138748424256 is a `hidden beast` number, since 1 + 387 + 4 + 8 + 4 + 2 + 4 + 256 = 666.

It is a super-2 number, since 2×138748424256² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (138748424257) 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, 9405046 + ... + 9419786.

It is an arithmetic number, because the mean of its divisors is an integer number (1965845700).

Almost surely, 2^138748424256 is an apocalyptic number.

138748424256 is a gapful number since it is divisible by the number (16) 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 138748424256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220174718400).

138748424256 is an abundant number, since it is smaller than the sum of its proper divisors (301601012544).

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

138748424256 is a wasteful number, since it uses less digits than its factorization.

138748424256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15194 (or 15178 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 138748424256 in words is "one hundred thirty-eight billion, seven hundred forty-eight million, four hundred twenty-four thousand, two hundred fifty-six".