134204413344120 has 256 divisors, whose sum is σ = 511292818252800. Its totient is φ = 30673019865600.

The previous prime is 134204413344119. The next prime is 134204413344139. The reversal of 134204413344120 is 21443314402431.

134204413344120 is a `hidden beast` number, since 1 + 3 + 4 + 20 + 44 + 133 + 441 + 20 = 666.

It is a super-2 number, since 2×134204413344120² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102368770 + ... + 103671470.

It is an arithmetic number, because the mean of its divisors is an integer number (1997237571300).

Almost surely, 2^{134204413344120} is an apocalyptic number.

134204413344120 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 134204413344120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255646409126400).

134204413344120 is an abundant number, since it is smaller than the sum of its proper divisors (377088404908680).

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

134204413344120 is a wasteful number, since it uses less digits than its factorization.

134204413344120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316355 (or 1316345 counting only the distinct ones).

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

Adding to 134204413344120 its reverse (21443314402431), we get a palindrome (155647727746551).

The spelling of 134204413344120 in words is "one hundred thirty-four trillion, two hundred four billion, four hundred thirteen million, three hundred forty-four thousand, one hundred twenty".