138378465280 has 312 divisors, whose sum is σ = 384341378400. Its totient is φ = 47654830080.

The previous prime is 138378465263. The next prime is 138378465287. The reversal of 138378465280 is 82564873831.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138378465287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47082051 + ... + 47084989.

Almost surely, 2^138378465280 is an apocalyptic number.

138378465280 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 138378465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192170689200).

138378465280 is an abundant number, since it is smaller than the sum of its proper divisors (245962913120).

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

138378465280 is a wasteful number, since it uses less digits than its factorization.

138378465280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 138378465280 in words is "one hundred thirty-eight billion, three hundred seventy-eight million, four hundred sixty-five thousand, two hundred eighty".