125142600 has 192 divisors, whose sum is σ = 431043840. Its totient is φ = 29779200.

The previous prime is 125142583. The next prime is 125142601. The reversal of 125142600 is 6241521.

It is not an unprimeable number, because it can be changed into a prime (125142601) 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 47 ways as a sum of consecutive naturals, for example, 442059 + ... + 442341.

It is an arithmetic number, because the mean of its divisors is an integer number (2245020).

Almost surely, 2^125142600 is an apocalyptic number.

125142600 is a gapful number since it is divisible by the number (10) 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 125142600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215521920).

125142600 is an abundant number, since it is smaller than the sum of its proper divisors (305901240).

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

125142600 is a wasteful number, since it uses less digits than its factorization.

125142600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 125142600 is about 11186.7153356113. The cubic root of 125142600 is about 500.1900610778.

The spelling of 125142600 in words is "one hundred twenty-five million, one hundred forty-two thousand, six hundred".