136752 has 80 divisors (see below), whose sum is σ = 452352. Its totient is φ = 34560.

The previous prime is 136751. The next prime is 136753. The reversal of 136752 is 257631.

It is an interprime number because it is at equal distance from previous prime (136751) and next prime (136753).

It is a super-2 number, since 2×136752² = 37402219008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a d-powerful number, because it can be written as 1 + 3² + 7⁶ + 6⁵ + 5⁵ + 2¹³ .

Its product of digits (1260) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136751) 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, 3678 + ... + 3714.

136752 is a Friedman number, since it can be written as 6512*7*3, using all its digits and the basic arithmetic operations.

2¹³⁶⁷⁵² is an apocalyptic number.

136752 is a gapful number since it is divisible by the number (12) 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 136752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226176).

136752 is an abundant number, since it is smaller than the sum of its proper divisors (315600).

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

136752 is a wasteful number, since it uses less digits than its factorization.

136752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 60 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 136752 is about 369.7999459167. The cubic root of 136752 is about 51.5202421449.

It can be divided in two parts, 136 and 752, that added together give a palindrome (888).

The spelling of 136752 in words is "one hundred thirty-six thousand, seven hundred fifty-two".