125370630 has 192 divisors, whose sum is σ = 413337600. Its totient is φ = 25608960.

The previous prime is 125370613. The next prime is 125370643. The reversal of 125370630 is 36073521.

It is a happy number.

125370630 is a `hidden beast` number, since 1 + 25 + 3 + 7 + 0 + 630 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 125370594 and 125370603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 547356 + ... + 547584.

It is an arithmetic number, because the mean of its divisors is an integer number (2152800).

Almost surely, 2^125370630 is an apocalyptic number.

125370630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125370630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206668800).

125370630 is an abundant number, since it is smaller than the sum of its proper divisors (287966970).

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

125370630 is a wasteful number, since it uses less digits than its factorization.

125370630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 125370630 is about 11196.9026967282. The cubic root of 125370630 is about 500.4936857217.

It can be divided in two parts, 1253706 and 30, that added together give a triangular number (1253736 = T₁₅₈₃).

The spelling of 125370630 in words is "one hundred twenty-five million, three hundred seventy thousand, six hundred thirty".