134688736 has 96 divisors (see below), whose sum is σ = 340720128. Its totient is φ = 50941440.

The previous prime is 134688733. The next prime is 134688737. The reversal of 134688736 is 637886431.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134688733) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65971 + ... + 67981.

It is an arithmetic number, because the mean of its divisors is an integer number (3549168).

Almost surely, 2^134688736 is an apocalyptic number.

134688736 is a gapful number since it is divisible by the number (16) 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 134688736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170360064).

134688736 is an abundant number, since it is smaller than the sum of its proper divisors (206031392).

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

134688736 is a wasteful number, since it uses less digits than its factorization.

134688736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2056 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The square root of 134688736 is about 11605.5476389527. The cubic root of 134688736 is about 512.5982184154.

It can be divided in two parts, 134688 and 736, that added together give a square (135424 = 368²).

The spelling of 134688736 in words is "one hundred thirty-four million, six hundred eighty-eight thousand, seven hundred thirty-six".