134968716288 has 616 divisors, whose sum is σ = 482842560768. Its totient is φ = 36853014528.

The previous prime is 134968716251. The next prime is 134968716307. The reversal of 134968716288 is 882617869431.

134968716288 is a `hidden beast` number, since 1 + 3 + 496 + 8 + 7 + 1 + 62 + 88 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 120185295 + ... + 120186417.

Almost surely, 2^134968716288 is an apocalyptic number.

134968716288 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 134968716288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241421280384).

134968716288 is an abundant number, since it is smaller than the sum of its proper divisors (347873844480).

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

134968716288 is an equidigital number, since it uses as much as digits as its factorization.

134968716288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1158 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 134968716288 in words is "one hundred thirty-four billion, nine hundred sixty-eight million, seven hundred sixteen thousand, two hundred eighty-eight".