134326614233136 has 480 divisors, whose sum is σ = 406779483613440. Its totient is φ = 37863193817088.

The previous prime is 134326614233107. The next prime is 134326614233143. The reversal of 134326614233136 is 631332416623431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2645605446 + ... + 2645656218.

It is an arithmetic number, because the mean of its divisors is an integer number (847457257528).

Almost surely, 2^{134326614233136} is an apocalyptic number.

134326614233136 is a gapful number since it is divisible by the number (16) 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 134326614233136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203389741806720).

134326614233136 is an abundant number, since it is smaller than the sum of its proper divisors (272452869380304).

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

134326614233136 is a wasteful number, since it uses less digits than its factorization.

134326614233136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51053 (or 51010 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 48.

The spelling of 134326614233136 in words is "one hundred thirty-four trillion, three hundred twenty-six billion, six hundred fourteen million, two hundred thirty-three thousand, one hundred thirty-six".