138413478144 has 72 divisors (see below), whose sum is σ = 369089838432. Its totient is φ = 46049136640.

The previous prime is 138413478109. The next prime is 138413478149. The reversal of 138413478144 is 441874314831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 138413478093 and 138413478102.

It is not an unprimeable number, because it can be changed into a prime (138413478149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227167 + ... + 573089.

It is an arithmetic number, because the mean of its divisors is an integer number (5126247756).

Almost surely, 2^138413478144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138413478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184544919216).

138413478144 is an abundant number, since it is smaller than the sum of its proper divisors (230676360288).

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

138413478144 is an equidigital number, since it uses as much as digits as its factorization.

138413478144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346463 (or 346449 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The spelling of 138413478144 in words is "one hundred thirty-eight billion, four hundred thirteen million, four hundred seventy-eight thousand, one hundred forty-four".