138651582720 has 576 divisors, whose sum is σ = 524170031616. Its totient is φ = 30576476160.

The previous prime is 138651582691. The next prime is 138651582743. The reversal of 138651582720 is 27285156831.

It is a super-2 number, since 2×138651582720² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 138651582720.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106901112 + ... + 106902408.

It is an arithmetic number, because the mean of its divisors is an integer number (910017416).

Almost surely, 2^138651582720 is an apocalyptic number.

138651582720 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 138651582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262085015808).

138651582720 is an abundant number, since it is smaller than the sum of its proper divisors (385518448896).

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

138651582720 is a wasteful number, since it uses less digits than its factorization.

138651582720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 138651582720 in words is "one hundred thirty-eight billion, six hundred fifty-one million, five hundred eighty-two thousand, seven hundred twenty".