125440 has 60 divisors (see below), whose sum is σ = 349866. Its totient is φ = 43008.

The previous prime is 125429. The next prime is 125441. The reversal of 125440 is 44521.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 12544 = 336^2 + 112^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (125441) by changing a digit.

125440 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 5 ways as a sum of consecutive naturals, for example, 17917 + ... + 17923.

2^{125440} is an apocalyptic number.

125440 is a gapful number since it is divisible by the number (10) 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 125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174933).

125440 is an abundant number, since it is smaller than the sum of its proper divisors (224426).

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

125440 is an frugal number, since it uses more digits than its factorization.

125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 125440 is about 354.1750979389. The cubic root of 125440 is about 50.0585979654.

Multiplying 125440 by its product of nonzero digits (160), we get a square (20070400 = 4480^{2}).

125440 divided by its product of nonzero digits (160) gives a square (784 = 28^{2}).

Adding to 125440 its reverse (44521), we get a palindrome (169961).

It can be divided in two parts, 125 and 440, that added together give a palindrome (565).

The spelling of 125440 in words is "one hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1120 1280 1568 1792 1960 2240 2560 3136 3584 3920 4480 6272 7840 8960 12544 15680 17920 25088 31360 62720 125440

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