134656131993600 has 1560 divisors, whose sum is σ = 549982038494880. Its totient is φ = 28965344378880.

The previous prime is 134656131993557. The next prime is 134656131993679. The reversal of 134656131993600 is 6399131656431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12538977031 + ... + 12538987769.

Almost surely, 2^{134656131993600} is an apocalyptic number.

134656131993600 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 134656131993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274991019247440).

134656131993600 is an abundant number, since it is smaller than the sum of its proper divisors (415325906501280).

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

134656131993600 is an equidigital number, since it uses as much as digits as its factorization.

134656131993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10821 (or 10773 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 57.

The spelling of 134656131993600 in words is "one hundred thirty-four trillion, six hundred fifty-six billion, one hundred thirty-one million, nine hundred ninety-three thousand, six hundred".