125352000 has 168 divisors, whose sum is σ = 448662552. Its totient is φ = 33408000.

The previous prime is 125351983. The next prime is 125352043. The reversal of 125352000 is 253521.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 38638656 + 86713344 = 6216^2 + 9312^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71130 + ... + 72870.

Almost surely, 2^125352000 is an apocalyptic number.

125352000 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 125352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224331276).

125352000 is an abundant number, since it is smaller than the sum of its proper divisors (323310552).

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

125352000 is a wasteful number, since it uses less digits than its factorization.

125352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 125352000 is about 11196.0707393264. The cubic root of 125352000 is about 500.4688934737.

It can be divided in two parts, 12535 and 2000, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 125352000 in words is "one hundred twenty-five million, three hundred fifty-two thousand".