134006528409600 has 1728 divisors, whose sum is σ = 563883434150400. Its totient is φ = 27837805363200.

The previous prime is 134006528409571. The next prime is 134006528409631. The reversal of 134006528409600 is 6904825600431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 134006528409600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37090097394 + ... + 37090101006.

It is an arithmetic number, because the mean of its divisors is an integer number (326321431800).

Almost surely, 2^{134006528409600} is an apocalyptic number.

134006528409600 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 134006528409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281941717075200).

134006528409600 is an abundant number, since it is smaller than the sum of its proper divisors (429876905740800).

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

134006528409600 is an frugal number, since it uses more digits than its factorization.

134006528409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 134006528409600 in words is "one hundred thirty-four trillion, six billion, five hundred twenty-eight million, four hundred nine thousand, six hundred".