135880704400 has 135 divisors (see below), whose sum is σ = 379896187971. Its totient is φ = 46569976320.

The previous prime is 135880704389. The next prime is 135880704413. The reversal of 135880704400 is 4407088531.

The square root of 135880704400 is 368620.

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 32485015696 + 103395688704 = 180236^2 + 321552^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 51605484 + ... + 51608116.

Almost surely, 2^135880704400 is an apocalyptic number.

135880704400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135880704400 is the 368620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135880704400

135880704400 is an abundant number, since it is smaller than the sum of its proper divisors (244015483571).

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

135880704400 is an frugal number, since it uses more digits than its factorization.

135880704400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5298 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 135880704400 in words is "one hundred thirty-five billion, eight hundred eighty million, seven hundred four thousand, four hundred".