134605713000 has 256 divisors, whose sum is σ = 462216119040. Its totient is φ = 32342016000.

The previous prime is 134605712999. The next prime is 134605713079. The reversal of 134605713000 is 317506431.

134605713000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3710952 + ... + 3747048.

It is an arithmetic number, because the mean of its divisors is an integer number (1805531715).

Almost surely, 2^134605713000 is an apocalyptic number.

134605713000 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 134605713000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231108059520).

134605713000 is an abundant number, since it is smaller than the sum of its proper divisors (327610406040).

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

134605713000 is a wasteful number, since it uses less digits than its factorization.

134605713000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36245 (or 36231 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 134605713000 in words is "one hundred thirty-four billion, six hundred five million, seven hundred thirteen thousand".