134526055379968 has 132 divisors (see below), whose sum is σ = 312934485148740. Its totient is φ = 57634060173312.

The previous prime is 134526055379951. The next prime is 134526055380011. The reversal of 134526055379968 is 869973550625431.

It can be written as a sum of positive squares in 2 ways, for example, as 89241123349504 + 45284932030464 = 9446752^2 + 6729408^2 .

It is a super-4 number, since 4×134526055379968⁴ (a number of 58 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134526055379968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144897138 + ... + 145822606.

It is a 1-persistent number, because it is pandigital, but 2⋅134526055379968 = 269052110759936 is not.

Almost surely, 2^{134526055379968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134526055379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156467242574370).

134526055379968 is an abundant number, since it is smaller than the sum of its proper divisors (178408429768772).

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

134526055379968 is an equidigital number, since it uses as much as digits as its factorization.

134526055379968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928400 (or 928375 counting only the distinct ones).

The product of its (nonzero) digits is 1469664000, while the sum is 73.

The spelling of 134526055379968 in words is "one hundred thirty-four trillion, five hundred twenty-six billion, fifty-five million, three hundred seventy-nine thousand, nine hundred sixty-eight".