138461621760 has 960 divisors, whose sum is σ = 633163474944. Its totient is φ = 27072921600.

The previous prime is 138461621759. The next prime is 138461621773. The reversal of 138461621760 is 67126164831.

138461621760 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 616 + 21 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 30157065 + ... + 30161655.

Almost surely, 2^138461621760 is an apocalyptic number.

138461621760 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 138461621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316581737472).

138461621760 is an abundant number, since it is smaller than the sum of its proper divisors (494701853184).

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

138461621760 is a wasteful number, since it uses less digits than its factorization.

138461621760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4655 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 138461621760 in words is "one hundred thirty-eight billion, four hundred sixty-one million, six hundred twenty-one thousand, seven hundred sixty".