125419 has 16 divisors (see below), whose sum is σ = 161280. Its totient is φ = 95040.

The previous prime is 125407. The next prime is 125423. The reversal of 125419 is 914521.

125419 = 28² + 29² + ... + 73².

It is a cyclic number.

It is not a de Polignac number, because 125419 - 2⁵ = 125387 is a prime.

It is a super-2 number, since 2×125419² = 31459851122, which contains 22 as substring.

Its product of digits (360) is a multiple of the sum of its prime divisors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 125419.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125429) 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, 3039 + ... + 3079.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹²⁵⁴¹⁹ is an apocalyptic number.

125419 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

125419 is a deficient number, since it is larger than the sum of its proper divisors (35861).

125419 is a wasteful number, since it uses less digits than its factorization.

125419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90.

The product of its digits is 360, while the sum is 22.

The square root of 125419 is about 354.1454503449. The cubic root of 125419 is about 50.0558043610.

The spelling of 125419 in words is "one hundred twenty-five thousand, four hundred nineteen".