138245915808 has 1536 divisors, whose sum is σ = 585252864000. Its totient is φ = 30561546240.

The previous prime is 138245915807. The next prime is 138245915809. The reversal of 138245915808 is 808519542831.

138245915808 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 4 + 59 + 1 + 580 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (138245915807) and next prime (138245915809).

It is a super-2 number, since 2×138245915808² (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 (138245915807) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 772323463 + ... + 772323641.

It is an arithmetic number, because the mean of its divisors is an integer number (381024000).

Almost surely, 2^138245915808 is an apocalyptic number.

138245915808 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 138245915808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292626432000).

138245915808 is an abundant number, since it is smaller than the sum of its proper divisors (447006948192).

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

138245915808 is a wasteful number, since it uses less digits than its factorization.

138245915808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 138245915808 in words is "one hundred thirty-eight billion, two hundred forty-five million, nine hundred fifteen thousand, eight hundred eight".