139435314168200 has 108 divisors (see below), whose sum is σ = 324910493176815. Its totient is φ = 55649948780160.

The previous prime is 139435314168197. The next prime is 139435314168247. The reversal of 139435314168200 is 2861413534931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 66513517758724 + 72921796409476 = 8155582^2 + 8539426^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=8349710.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 126414608849 + ... + 126414609951.

Almost surely, 2^{139435314168200} is an apocalyptic number.

139435314168200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

139435314168200 is an abundant number, since it is smaller than the sum of its proper divisors (185475179008615).

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

139435314168200 is an frugal number, since it uses more digits than its factorization.

139435314168200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 50.

139435314168200 divided by its sum of digits (50) gives a square (2788706283364 = 1669942²).

The spelling of 139435314168200 in words is "one hundred thirty-nine trillion, four hundred thirty-five billion, three hundred fourteen million, one hundred sixty-eight thousand, two hundred".