135750 has 32 divisors (see below), whose sum is σ = 340704. Its totient is φ = 36000.

The previous prime is 135743. The next prime is 135757. The reversal of 135750 is 57531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135743) and next prime (135757).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135757) by changing a digit.

135750 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 15 ways as a sum of consecutive naturals, for example, 660 + ... + 840.

It is an arithmetic number, because the mean of its divisors is an integer number (10647).

2¹³⁵⁷⁵⁰ is an apocalyptic number.

135750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170352).

135750 is an abundant number, since it is smaller than the sum of its proper divisors (204954).

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

135750 is a wasteful number, since it uses less digits than its factorization.

135750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 135750 is about 368.4426685388. The cubic root of 135750 is about 51.3941016815.

The spelling of 135750 in words is "one hundred thirty-five thousand, seven hundred fifty".