125309415 has 72 divisors (see below), whose sum is σ = 256541040. Its totient is φ = 52039680.

The previous prime is 125309413. The next prime is 125309423. The reversal of 125309415 is 514903521.

It is not a de Polignac number, because 125309415 - 2¹ = 125309413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125309411) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88231 + ... + 89639.

It is an arithmetic number, because the mean of its divisors is an integer number (3563070).

Almost surely, 2^125309415 is an apocalyptic number.

125309415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

125309415 is an abundant number, since it is smaller than the sum of its proper divisors (131231625).

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

125309415 is a wasteful number, since it uses less digits than its factorization.

125309415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 125309415 is about 11194.1687945108. The cubic root of 125309415 is about 500.4122134002.

It can be divided in two parts, 12530 and 9415, that added together give a triangular number (21945 = T₂₀₉).

The spelling of 125309415 in words is "one hundred twenty-five million, three hundred nine thousand, four hundred fifteen".