134140131648 has 280 divisors, whose sum is σ = 408518663784. Its totient is φ = 43495833600.

The previous prime is 134140131647. The next prime is 134140131667. The reversal of 134140131648 is 846131041431.

134140131648 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 4 + 0 + 1 + 3 + 1 + 648 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11141224704 + 122998906944 = 105552^2 + 350712^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134140131641) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 97131918 + ... + 97133298.

Almost surely, 2^134140131648 is an apocalyptic number.

134140131648 is a gapful number since it is divisible by the number (18) 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 134140131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204259331892).

134140131648 is an abundant number, since it is smaller than the sum of its proper divisors (274378532136).

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

134140131648 is a wasteful number, since it uses less digits than its factorization.

134140131648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 134140131648 in words is "one hundred thirty-four billion, one hundred forty million, one hundred thirty-one thousand, six hundred forty-eight".