134124025041440 has 192 divisors, whose sum is σ = 364242141059328. Its totient is φ = 45718477209600.

The previous prime is 134124025041397. The next prime is 134124025041443. The reversal of 134124025041440 is 44140520421431.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 134124025041440.

It is not an unprimeable number, because it can be changed into a prime (134124025041443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149517455 + ... + 150411825.

It is an arithmetic number, because the mean of its divisors is an integer number (1897094484684).

Almost surely, 2^{134124025041440} is an apocalyptic number.

134124025041440 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 134124025041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182121070529664).

134124025041440 is an abundant number, since it is smaller than the sum of its proper divisors (230118116017888).

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

134124025041440 is a wasteful number, since it uses less digits than its factorization.

134124025041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895171 (or 895163 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 134124025041440 its reverse (44140520421431), we get a palindrome (178264545462871).

The spelling of 134124025041440 in words is "one hundred thirty-four trillion, one hundred twenty-four billion, twenty-five million, forty-one thousand, four hundred forty".