125515104 has 192 divisors, whose sum is σ = 398297088. Its totient is φ = 34099200.

The previous prime is 125515081. The next prime is 125515109. The reversal of 125515104 is 401515521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125515109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562737 + ... + 562959.

It is an arithmetic number, because the mean of its divisors is an integer number (2074464).

Almost surely, 2^125515104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125515104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199148544).

125515104 is an abundant number, since it is smaller than the sum of its proper divisors (272781984).

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

125515104 is a wasteful number, since it uses less digits than its factorization.

125515104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 125515104 is about 11203.3523554336. The cubic root of 125515104 is about 500.6858640841.

The spelling of 125515104 in words is "one hundred twenty-five million, five hundred fifteen thousand, one hundred four".