134413440000 has 880 divisors, whose sum is σ = 522431868288. Its totient is φ = 30081024000.

The previous prime is 134413439939. The next prime is 134413440043. The reversal of 134413440000 is 44314431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 981119932 + ... + 981120068.

Almost surely, 2^134413440000 is an apocalyptic number.

134413440000 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 134413440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261215934144).

134413440000 is an abundant number, since it is smaller than the sum of its proper divisors (388018428288).

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

134413440000 is an equidigital number, since it uses as much as digits as its factorization.

134413440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 134413440000 its reverse (44314431), we get a palindrome (134457754431).

It can be divided in two parts, 1344 and 13440000, that multiplied together give a square (18063360000 = 134400²).

The spelling of 134413440000 in words is "one hundred thirty-four billion, four hundred thirteen million, four hundred forty thousand".