134268600072880 has 1280 divisors, whose sum is σ = 413919363465216. Its totient is φ = 39356304261120.

The previous prime is 134268600072877. The next prime is 134268600072911. The reversal of 134268600072880 is 88270006862431.

It is a super-2 number, since 2×134268600072880² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 170608131847 + ... + 170608132633.

Almost surely, 2^{134268600072880} is an apocalyptic number.

134268600072880 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 134268600072880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206959681732608).

134268600072880 is an abundant number, since it is smaller than the sum of its proper divisors (279650763392336).

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

134268600072880 is a wasteful number, since it uses less digits than its factorization.

134268600072880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 134268600072880 in words is "one hundred thirty-four trillion, two hundred sixty-eight billion, six hundred million, seventy-two thousand, eight hundred eighty".