139434080400 has 210 divisors, whose sum is σ = 502256857410. Its totient is φ = 37182343680.

The previous prime is 139434080381. The next prime is 139434080407. The reversal of 139434080400 is 4080434931.

139434080400 is a `hidden beast` number, since 139 + 4 + 3 + 40 + 80 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3644778384 + 135789302016 = 60372^2 + 368496^2 .

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 (139434080407) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 52516 + ... + 530684.

It is an arithmetic number, because the mean of its divisors is an integer number (2391699321).

Almost surely, 2^139434080400 is an apocalyptic number.

139434080400 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 139434080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251128428705).

139434080400 is an abundant number, since it is smaller than the sum of its proper divisors (362822777010).

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

139434080400 is an equidigital number, since it uses as much as digits as its factorization.

139434080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478205 (or 478179 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 139434080400 in words is "one hundred thirty-nine billion, four hundred thirty-four million, eighty thousand, four hundred".