134083182133488 has 240 divisors, whose sum is σ = 410680049080320. Its totient is φ = 37576479628800.

The previous prime is 134083182133469. The next prime is 134083182133493. The reversal of 134083182133488 is 884331281380431.

It is a happy number.

134083182133488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134083182133488² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50204833 + ... + 52808063.

It is an arithmetic number, because the mean of its divisors is an integer number (1711166871168).

Almost surely, 2^{134083182133488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134083182133488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205340024540160).

134083182133488 is an abundant number, since it is smaller than the sum of its proper divisors (276596866946832).

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

134083182133488 is a wasteful number, since it uses less digits than its factorization.

134083182133488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603676 (or 2603663 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 57.

The spelling of 134083182133488 in words is "one hundred thirty-four trillion, eighty-three billion, one hundred eighty-two million, one hundred thirty-three thousand, four hundred eighty-eight".