134144720640 has 864 divisors, whose sum is σ = 573381244800. Its totient is φ = 28843573248.

The previous prime is 134144720639. The next prime is 134144720663. The reversal of 134144720640 is 46027441431.

134144720640 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 4 + 4 + 7 + 2 + 0 + 640 = 666.

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 = 134144720595 and 134144720604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67172122 + ... + 67174118.

It is an arithmetic number, because the mean of its divisors is an integer number (663635700).

Almost surely, 2^134144720640 is an apocalyptic number.

134144720640 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 134144720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286690622400).

134144720640 is an abundant number, since it is smaller than the sum of its proper divisors (439236524160).

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

134144720640 is a wasteful number, since it uses less digits than its factorization.

134144720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 134144720640 in words is "one hundred thirty-four billion, one hundred forty-four million, seven hundred twenty thousand, six hundred forty".