134736 has 40 divisors (see below), whose sum is σ = 398784. Its totient is φ = 38400.

The previous prime is 134731. The next prime is 134741. The reversal of 134736 is 637431.

It is an interprime number because it is at equal distance from previous prime (134731) and next prime (134741).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a d-powerful number, because it can be written as 1 + 3⁵ + 7⁶ + 4⁷ + 3⁵ + 6³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134731) by changing a digit.

134736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136 + ... + 536.

2¹³⁴⁷³⁶ is an apocalyptic number.

134736 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 134736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199392).

134736 is an abundant number, since it is smaller than the sum of its proper divisors (264048).

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

134736 is a wasteful number, since it uses less digits than its factorization.

134736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 134736 is about 367.0640271124. The cubic root of 134736 is about 51.2658170493.

The spelling of 134736 in words is "one hundred thirty-four thousand, seven hundred thirty-six".