125046624 has 48 divisors (see below), whose sum is σ = 330644160. Its totient is φ = 41377920.

The previous prime is 125046587. The next prime is 125046629. The reversal of 125046624 is 426640521.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 125046591 and 125046600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125046629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8659 + ... + 18029.

It is an arithmetic number, because the mean of its divisors is an integer number (6888420).

Almost surely, 2^125046624 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 125046624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165322080).

125046624 is an abundant number, since it is smaller than the sum of its proper divisors (205597536).

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

125046624 is a wasteful number, since it uses less digits than its factorization.

125046624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9523 (or 9515 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 125046624 is about 11182.4247817725. The cubic root of 125046624 is about 500.0621576059.

It can be divided in two parts, 1250 and 46624, that added together give a palindrome (47874).

The spelling of 125046624 in words is "one hundred twenty-five million, forty-six thousand, six hundred twenty-four".