139954988160 has 320 divisors, whose sum is σ = 538253626680. Its totient is φ = 34450292736.

The previous prime is 139954988143. The next prime is 139954988167. The reversal of 139954988160 is 61889459931.

139954988160 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 5 + 498 + 81 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78001786944 + 61953201216 = 279288^2 + 248904^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (139954988167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 570084 + ... + 777756.

Almost surely, 2^139954988160 is an apocalyptic number.

139954988160 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 139954988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269126813340).

139954988160 is an abundant number, since it is smaller than the sum of its proper divisors (398298638520).

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

139954988160 is a wasteful number, since it uses less digits than its factorization.

139954988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207717 (or 207696 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 139954988160 in words is "one hundred thirty-nine billion, nine hundred fifty-four million, nine hundred eighty-eight thousand, one hundred sixty".