138605452800 has 240 divisors, whose sum is σ = 469047447792. Its totient is φ = 36059545600.

The previous prime is 138605452781. The next prime is 138605452807. The reversal of 138605452800 is 8254506831.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×138605452800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138605452807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1530382 + ... + 1618418.

Almost surely, 2^138605452800 is an apocalyptic number.

138605452800 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 138605452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234523723896).

138605452800 is an abundant number, since it is smaller than the sum of its proper divisors (330441994992).

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

138605452800 is an equidigital number, since it uses as much as digits as its factorization.

138605452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88109 (or 88088 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 138605452800 in words is "one hundred thirty-eight billion, six hundred five million, four hundred fifty-two thousand, eight hundred".