134312688 has 160 divisors (see below), whose sum is σ = 407116800. Its totient is φ = 42336000.

The previous prime is 134312687. The next prime is 134312723. The reversal of 134312688 is 886213431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (27648) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134312681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 889413 + ... + 889563.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2^134312688 is an apocalyptic number.

134312688 is a gapful number since it is divisible by the number (18) 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 134312688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203558400).

134312688 is an abundant number, since it is smaller than the sum of its proper divisors (272804112).

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

134312688 is a wasteful number, since it uses less digits than its factorization.

134312688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 134312688 is about 11589.3350974074. The cubic root of 134312688 is about 512.1207194186.

The spelling of 134312688 in words is "one hundred thirty-four million, three hundred twelve thousand, six hundred eighty-eight".