125415 has 16 divisors (see below), whose sum is σ = 223200. Its totient is φ = 66816.

The previous prime is 125407. The next prime is 125423. The reversal of 125415 is 514521.

125415 = T₁₀ + T₁₁ + ... + T₉₀.

It is an interprime number because it is at equal distance from previous prime (125407) and next prime (125423).

It is not a de Polignac number, because 125415 - 2³ = 125407 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (13950).

2¹²⁵⁴¹⁵ is an apocalyptic number.

125415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

125415 is a deficient number, since it is larger than the sum of its proper divisors (97785).

125415 is an equidigital number, since it uses as much as digits as its factorization.

125415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 937 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 125415 is about 354.1398029028. The cubic root of 125415 is about 50.0552722105.

Adding to 125415 its reverse (514521), we get a palindrome (639936).

It can be divided in two parts, 12 and 5415, that multiplied together give a triangular number (64980 = T₃₆₀).

The spelling of 125415 in words is "one hundred twenty-five thousand, four hundred fifteen".