138975782400 has 1440 divisors, whose sum is σ = 636094787328. Its totient is φ = 29262643200.

The previous prime is 138975782381. The next prime is 138975782437. The reversal of 138975782400 is 4287579831.

It is a happy number.

138975782400 is a `hidden beast` number, since 13 + 89 + 75 + 7 + 82 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 283046155 + ... + 283046645.

Almost surely, 2^138975782400 is an apocalyptic number.

138975782400 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 138975782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318047393664).

138975782400 is an abundant number, since it is smaller than the sum of its proper divisors (497119004928).

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

138975782400 is an equidigital number, since it uses as much as digits as its factorization.

138975782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 138975782400 in words is "one hundred thirty-eight billion, nine hundred seventy-five million, seven hundred eighty-two thousand, four hundred".