138446370480 has 480 divisors, whose sum is σ = 484753973760. Its totient is φ = 32650956800.

The previous prime is 138446370467. The next prime is 138446370487. The reversal of 138446370480 is 84073644831.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (138446370487) 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 95 ways as a sum of consecutive naturals, for example, 171132316 + ... + 171133124.

It is an arithmetic number, because the mean of its divisors is an integer number (1009904112).

Almost surely, 2^138446370480 is an apocalyptic number.

138446370480 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 138446370480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242376986880).

138446370480 is an abundant number, since it is smaller than the sum of its proper divisors (346307603280).

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

138446370480 is a wasteful number, since it uses less digits than its factorization.

138446370480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 138446370480 in words is "one hundred thirty-eight billion, four hundred forty-six million, three hundred seventy thousand, four hundred eighty".