125136 has 60 divisors (see below), whose sum is σ = 386880. Its totient is φ = 37440.

The previous prime is 125131. The next prime is 125141. The reversal of 125136 is 631521.

It is an interprime number because it is at equal distance from previous prime (125131) and next prime (125141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125131) by changing a digit.

125136 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 11 ways as a sum of consecutive naturals, for example, 1545 + ... + 1623.

It is an arithmetic number, because the mean of its divisors is an integer number (6448).

2¹²⁵¹³⁶ is an apocalyptic number.

125136 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 125136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193440).

125136 is an abundant number, since it is smaller than the sum of its proper divisors (261744).

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

125136 is a wasteful number, since it uses less digits than its factorization.

125136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 125136 is about 353.7456713516. The cubic root of 125136 is about 50.0181267609.

Adding to 125136 its product of digits (180), we get a square (125316 = 354²).

Adding to 125136 its reverse (631521), we get a palindrome (756657).

It can be divided in two parts, 12513 and 6, that multiplied together give a triangular number (75078 = T₃₈₇).

The spelling of 125136 in words is "one hundred twenty-five thousand, one hundred thirty-six".