139875733094400 has 3240 divisors, whose sum is σ = 568107531124224. Its totient is φ = 34054550323200.

The previous prime is 139875733094309. The next prime is 139875733094413. The reversal of 139875733094400 is 4490337578931.

It is a happy number.

139875733094400 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 75 + 73 + 3 + 0 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×139875733094400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1916105932764 + ... + 1916105932836.

Almost surely, 2^{139875733094400} is an apocalyptic number.

139875733094400 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 139875733094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284053765562112).

139875733094400 is an abundant number, since it is smaller than the sum of its proper divisors (428231798029824).

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

139875733094400 is an frugal number, since it uses more digits than its factorization.

139875733094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 139875733094400 in words is "one hundred thirty-nine trillion, eight hundred seventy-five billion, seven hundred thirty-three million, ninety-four thousand, four hundred".