134517717619740 has 1728 divisors, whose sum is σ = 544403632348800. Its totient is φ = 27330890711040.

The previous prime is 134517717619721. The next prime is 134517717619777. The reversal of 134517717619740 is 47916717715431.

It is a happy number.

134517717619740 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 1 + 7 + 7 + 1 + 7 + 619 + 7 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 75699333732 + ... + 75699335508.

It is an arithmetic number, because the mean of its divisors is an integer number (315048398350).

Almost surely, 2^{134517717619740} is an apocalyptic number.

134517717619740 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 134517717619740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272201816174400).

134517717619740 is an abundant number, since it is smaller than the sum of its proper divisors (409885914729060).

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

134517717619740 is a wasteful number, since it uses less digits than its factorization.

134517717619740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 63.

The spelling of 134517717619740 in words is "one hundred thirty-four trillion, five hundred seventeen billion, seven hundred seventeen million, six hundred nineteen thousand, seven hundred forty".