125460192 has 288 divisors, whose sum is σ = 420577920. Its totient is φ = 32348160.

The previous prime is 125460157. The next prime is 125460217. The reversal of 125460192 is 291064521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3390798 + ... + 3390834.

It is an arithmetic number, because the mean of its divisors is an integer number (1460340).

Almost surely, 2^125460192 is an apocalyptic number.

125460192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125460192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210288960).

125460192 is an abundant number, since it is smaller than the sum of its proper divisors (295117728).

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

125460192 is a wasteful number, since it uses less digits than its factorization.

125460192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 125460192 is about 11200.9013922987. The cubic root of 125460192 is about 500.6128378859.

The spelling of 125460192 in words is "one hundred twenty-five million, four hundred sixty thousand, one hundred ninety-two".