138067079040 has 1536 divisors, whose sum is σ = 587038233600. Its totient is φ = 30911569920.

The previous prime is 138067079023. The next prime is 138067079057. The reversal of 138067079040 is 40970760831.

It is an interprime number because it is at equal distance from previous prime (138067079023) and next prime (138067079057).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4760933746 + ... + 4760933774.

It is an arithmetic number, because the mean of its divisors is an integer number (382186350).

Almost surely, 2^138067079040 is an apocalyptic number.

138067079040 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 138067079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293519116800).

138067079040 is an abundant number, since it is smaller than the sum of its proper divisors (448971154560).

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

138067079040 is an equidigital number, since it uses as much as digits as its factorization.

138067079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 138067079040 in words is "one hundred thirty-eight billion, sixty-seven million, seventy-nine thousand, forty".