134431400000 has 168 divisors, whose sum is σ = 338163481152. Its totient is φ = 53009600000.

The previous prime is 134431399957. The next prime is 134431400039. The reversal of 134431400000 is 4134431.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14195267 + ... + 14204733.

It is an arithmetic number, because the mean of its divisors is an integer number (2012877864).

Almost surely, 2^134431400000 is an apocalyptic number.

134431400000 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 134431400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169081740576).

134431400000 is an abundant number, since it is smaller than the sum of its proper divisors (203732081152).

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

134431400000 is an frugal number, since it uses more digits than its factorization.

134431400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9575 (or 9545 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 134431400000 its reverse (4134431), we get a palindrome (134435534431).

The spelling of 134431400000 in words is "one hundred thirty-four billion, four hundred thirty-one million, four hundred thousand".