134161100640 has 1152 divisors, whose sum is σ = 579679027200. Its totient is φ = 27565608960.

The previous prime is 134161100639. The next prime is 134161100687. The reversal of 134161100640 is 46001161431.

134161100640 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 6 + 1 + 10 + 0 + 640 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 350289889 + ... + 350290271.

It is an arithmetic number, because the mean of its divisors is an integer number (503193600).

Almost surely, 2^134161100640 is an apocalyptic number.

134161100640 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 134161100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289839513600).

134161100640 is an abundant number, since it is smaller than the sum of its proper divisors (445517926560).

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

134161100640 is a wasteful number, since it uses less digits than its factorization.

134161100640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 134161100640 in words is "one hundred thirty-four billion, one hundred sixty-one million, one hundred thousand, six hundred forty".