134583714720 has 576 divisors, whose sum is σ = 573725617920. Its totient is φ = 27970043904.

The previous prime is 134583714709. The next prime is 134583714767. The reversal of 134583714720 is 27417385431.

134583714720 is a `hidden beast` number, since 1 + 3 + 4 + 583 + 7 + 1 + 47 + 20 = 666.

It is a super-2 number, since 2×134583714720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8772016 + ... + 8787344.

It is an arithmetic number, because the mean of its divisors is an integer number (996051420).

Almost surely, 2^134583714720 is an apocalyptic number.

134583714720 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 134583714720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286862808960).

134583714720 is an abundant number, since it is smaller than the sum of its proper divisors (439141903200).

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

134583714720 is a wasteful number, since it uses less digits than its factorization.

134583714720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15437 (or 15426 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 134583714720 in words is "one hundred thirty-four billion, five hundred eighty-three million, seven hundred fourteen thousand, seven hundred twenty".