138804723657600 has 1152 divisors, whose sum is σ = 624808758430080. Its totient is φ = 26623870156800.

The previous prime is 138804723657577. The next prime is 138804723657617. The reversal of 138804723657600 is 6756327408831.

It is a happy number.

It is a super-2 number, since 2×138804723657600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66235459 + ... + 68298941.

It is an arithmetic number, because the mean of its divisors is an integer number (542368713915).

Almost surely, 2^{138804723657600} is an apocalyptic number.

138804723657600 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 138804723657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312404379215040).

138804723657600 is an abundant number, since it is smaller than the sum of its proper divisors (486004034772480).

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

138804723657600 is a wasteful number, since it uses less digits than its factorization.

138804723657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063548 (or 2063524 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 138804723657600 in words is "one hundred thirty-eight trillion, eight hundred four billion, seven hundred twenty-three million, six hundred fifty-seven thousand, six hundred".