134407039496688 has 480 divisors, whose sum is σ = 461740363868160. Its totient is φ = 35641202688000.

The previous prime is 134407039496683. The next prime is 134407039496731. The reversal of 134407039496688 is 886694930704431.

It is a happy number.

134407039496688 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 0 + 70 + 3 + 9 + 496 + 68 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134407039496683) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 683034313 + ... + 683231063.

It is an arithmetic number, because the mean of its divisors is an integer number (961959091392).

Almost surely, 2^{134407039496688} is an apocalyptic number.

134407039496688 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 134407039496688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230870181934080).

134407039496688 is an abundant number, since it is smaller than the sum of its proper divisors (327333324371472).

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

134407039496688 is a wasteful number, since it uses less digits than its factorization.

134407039496688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197517 (or 197508 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 134407039496688 in words is "one hundred thirty-four trillion, four hundred seven billion, thirty-nine million, four hundred ninety-six thousand, six hundred eighty-eight".