134681344562520 has 640 divisors, whose sum is σ = 544674699993600. Its totient is φ = 29158805606400.

The previous prime is 134681344562489. The next prime is 134681344562533. The reversal of 134681344562520 is 25265443186431.

It is a happy number.

134681344562520 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 8 + 1 + 3 + 4 + 4 + 5 + 625 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2676418960 + ... + 2676469280.

It is an arithmetic number, because the mean of its divisors is an integer number (851054218740).

Almost surely, 2^{134681344562520} is an apocalyptic number.

134681344562520 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 134681344562520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272337349996800).

134681344562520 is an abundant number, since it is smaller than the sum of its proper divisors (409993355431080).

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

134681344562520 is a wasteful number, since it uses less digits than its factorization.

134681344562520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56581 (or 56568 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 134681344562520 in words is "one hundred thirty-four trillion, six hundred eighty-one billion, three hundred forty-four million, five hundred sixty-two thousand, five hundred twenty".