134440400000 has 96 divisors (see below), whose sum is σ = 334767675060. Its totient is φ = 53776000000.

The previous prime is 134440399987. The next prime is 134440400023. The reversal of 134440400000 is 4044431.

It can be written as a sum of positive squares in 6 ways, for example, as 1086889024 + 133353510976 = 32968^2 + 365176^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 231950 + ... + 568050.

Almost surely, 2^134440400000 is an apocalyptic number.

134440400000 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 134440400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167383837530).

134440400000 is an abundant number, since it is smaller than the sum of its proper divisors (200327275060).

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

134440400000 is an frugal number, since it uses more digits than its factorization.

134440400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336140 (or 336108 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 134440400000 its reverse (4044431), we get a palindrome (134444444431).

The spelling of 134440400000 in words is "one hundred thirty-four billion, four hundred forty million, four hundred thousand".