139120048800 has 288 divisors, whose sum is σ = 503624640960. Its totient is φ = 37063756800.

The previous prime is 139120048799. The next prime is 139120048801. The reversal of 139120048800 is 8840021931.

139120048800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (139120048799) and next prime (139120048801).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×139120048800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (139120048801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29654455 + ... + 29659145.

It is an arithmetic number, because the mean of its divisors is an integer number (1748696670).

Almost surely, 2^139120048800 is an apocalyptic number.

139120048800 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 139120048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251812320480).

139120048800 is an abundant number, since it is smaller than the sum of its proper divisors (364504592160).

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

139120048800 is a wasteful number, since it uses less digits than its factorization.

139120048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6093 (or 6074 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

It can be divided in two parts, 1391200 and 48800, that added together give a square (1440000 = 1200²).

The spelling of 139120048800 in words is "one hundred thirty-nine billion, one hundred twenty million, forty-eight thousand, eight hundred".