139509720100 has 81 divisors (see below), whose sum is σ = 310640981203. Its totient is φ = 54383056000.

The previous prime is 139509720079. The next prime is 139509720113. The reversal of 139509720100 is 1027905931.

The square root of 139509720100 is 373510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 58721890276 + 80787829824 = 242326^2 + 284232^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 139509720100.

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 26 ways as a sum of consecutive naturals, for example, 153138645 + ... + 153139555.

Almost surely, 2^139509720100 is an apocalyptic number.

139509720100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

139509720100 is the 373510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139509720100

139509720100 is an abundant number, since it is smaller than the sum of its proper divisors (171131261103).

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

139509720100 is an frugal number, since it uses more digits than its factorization.

139509720100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 37.

The spelling of 139509720100 in words is "one hundred thirty-nine billion, five hundred nine million, seven hundred twenty thousand, one hundred".