13125420 has 144 divisors (see below), whose sum is σ = 49690368. Its totient is φ = 2724480.

The previous prime is 13125419. The next prime is 13125421. The reversal of 13125420 is 2452131.

It is an interprime number because it is at equal distance from previous prime (13125419) and next prime (13125421).

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

It is a junction number, because it is equal to n+sod(n) for n = 13125393 and 13125402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13387 + ... + 14333.

It is an arithmetic number, because the mean of its divisors is an integer number (345072).

Almost surely, 2^13125420 is an apocalyptic number.

13125420 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 13125420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24845184).

13125420 is an abundant number, since it is smaller than the sum of its proper divisors (36564948).

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

13125420 is a wasteful number, since it uses less digits than its factorization.

13125420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13125420 is about 3622.9021515906. The cubic root of 13125420 is about 235.8872150924.

Adding to 13125420 its reverse (2452131), we get a palindrome (15577551).

Subtracting from 13125420 its reverse (2452131), we obtain a square (10673289 = 3267²).

The spelling of 13125420 in words is "thirteen million, one hundred twenty-five thousand, four hundred twenty".