134709356880 has 400 divisors, whose sum is σ = 557955788544. Its totient is φ = 29451755520.

The previous prime is 134709356851. The next prime is 134709356891. The reversal of 134709356880 is 88653907431.

134709356880 is a `hidden beast` number, since 1 + 3 + 4 + 70 + 9 + 3 + 568 + 8 + 0 = 666.

134709356880 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×134709356880³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 978720 + ... + 1107840.

Almost surely, 2^134709356880 is an apocalyptic number.

134709356880 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 134709356880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278977894272).

134709356880 is an abundant number, since it is smaller than the sum of its proper divisors (423246431664).

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

134709356880 is a wasteful number, since it uses less digits than its factorization.

134709356880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129176 (or 129161 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 134709356880 in words is "one hundred thirty-four billion, seven hundred nine million, three hundred fifty-six thousand, eight hundred eighty".