134706442963968 has 440 divisors, whose sum is σ = 405349286680800. Its totient is φ = 44557914931200.

The previous prime is 134706442963943. The next prime is 134706442963993. The reversal of 134706442963968 is 869369244607431.

134706442963968 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 0 + 6 + 442 + 96 + 3 + 96 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (134706442963943) and next prime (134706442963993).

It is a super-3 number, since 3×134706442963968³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 134706442963896 and 134706442963905.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13138241530 + ... + 13138251782.

It is an arithmetic number, because the mean of its divisors is an integer number (921248378820).

Almost surely, 2^{134706442963968} is an apocalyptic number.

134706442963968 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 134706442963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202674643340400).

134706442963968 is an abundant number, since it is smaller than the sum of its proper divisors (270642843716832).

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

134706442963968 is a wasteful number, since it uses less digits than its factorization.

134706442963968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11485 (or 11458 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 72.

The spelling of 134706442963968 in words is "one hundred thirty-four trillion, seven hundred six billion, four hundred forty-two million, nine hundred sixty-three thousand, nine hundred sixty-eight".