125252000 has 96 divisors (see below), whose sum is σ = 311233104. Its totient is φ = 49536000.

The previous prime is 125251981. The next prime is 125252003. The reversal of 125252000 is 252521.

It can be written as a sum of positive squares in 8 ways, for example, as 795664 + 124456336 = 892^2 + 11156^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 125252000.

It is not an unprimeable number, because it can be changed into a prime (125252003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691910 + ... + 692090.

Almost surely, 2^125252000 is an apocalyptic number.

125252000 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 125252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155616552).

125252000 is an abundant number, since it is smaller than the sum of its proper divisors (185981104).

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

125252000 is a wasteful number, since it uses less digits than its factorization.

125252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 125252000 is about 11191.6039958533. The cubic root of 125252000 is about 500.3357744605.

The spelling of 125252000 in words is "one hundred twenty-five million, two hundred fifty-two thousand".