138157344325440 has 1568 divisors, whose sum is σ = 548939981721600. Its totient is φ = 32824130826240.

The previous prime is 138157344325423. The next prime is 138157344325447. The reversal of 138157344325440 is 44523443751831.

138157344325440 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 5 + 7 + 344 + 3 + 254 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138157344325447) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 28178122029 + ... + 28178126931.

Almost surely, 2^{138157344325440} is an apocalyptic number.

138157344325440 is a gapful number since it is divisible by the number (10) 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 138157344325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274469990860800).

138157344325440 is an abundant number, since it is smaller than the sum of its proper divisors (410782637396160).

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

138157344325440 is a wasteful number, since it uses less digits than its factorization.

138157344325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 138157344325440 in words is "one hundred thirty-eight trillion, one hundred fifty-seven billion, three hundred forty-four million, three hundred twenty-five thousand, four hundred forty".