139954560480 has 720 divisors, whose sum is σ = 582627109680. Its totient is φ = 31540948992.

The previous prime is 139954560467. The next prime is 139954560601. The reversal of 139954560480 is 84065459931.

139954560480 is a `hidden beast` number, since 1 + 3 + 99 + 545 + 6 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 46356411 + ... + 46359429.

It is an arithmetic number, because the mean of its divisors is an integer number (809204319).

Almost surely, 2^139954560480 is an apocalyptic number.

139954560480 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 139954560480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291313554840).

139954560480 is an abundant number, since it is smaller than the sum of its proper divisors (442672549200).

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

139954560480 is a wasteful number, since it uses less digits than its factorization.

139954560480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 139954560480 in words is "one hundred thirty-nine billion, nine hundred fifty-four million, five hundred sixty thousand, four hundred eighty".