134344914368832 has 896 divisors, whose sum is σ = 425334169497600. Its totient is φ = 41434973798400.

The previous prime is 134344914368783. The next prime is 134344914368843. The reversal of 134344914368832 is 238863419443431.

134344914368832 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 4 + 4 + 91 + 436 + 88 + 32 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 134344914368832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 306024861669 + ... + 306024862107.

Almost surely, 2^{134344914368832} is an apocalyptic number.

134344914368832 is a gapful number since it is divisible by the number (12) 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 134344914368832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212667084748800).

134344914368832 is an abundant number, since it is smaller than the sum of its proper divisors (290989255128768).

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

134344914368832 is a wasteful number, since it uses less digits than its factorization.

134344914368832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1156 counting only the distinct ones).

The product of its digits is 143327232, while the sum is 63.

The spelling of 134344914368832 in words is "one hundred thirty-four trillion, three hundred forty-four billion, nine hundred fourteen million, three hundred sixty-eight thousand, eight hundred thirty-two".