134246144340 has 768 divisors, whose sum is σ = 554945126400. Its totient is φ = 26083123200.

The previous prime is 134246144303. The next prime is 134246144353. The reversal of 134246144340 is 43441642431.

134246144340 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 4 + 614 + 4 + 34 + 0 = 666.

It is a super-2 number, since 2×134246144340² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134246144295 and 134246144304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 126527410 + ... + 126528470.

It is an arithmetic number, because the mean of its divisors is an integer number (722584800).

Almost surely, 2^134246144340 is an apocalyptic number.

134246144340 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 134246144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277472563200).

134246144340 is an abundant number, since it is smaller than the sum of its proper divisors (420698982060).

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

134246144340 is a wasteful number, since it uses less digits than its factorization.

134246144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 134246144340 its reverse (43441642431), we get a palindrome (177687786771).

The spelling of 134246144340 in words is "one hundred thirty-four billion, two hundred forty-six million, one hundred forty-four thousand, three hundred forty".