125864500 has 48 divisors (see below), whose sum is σ = 277018560. Its totient is φ = 49956000.

The previous prime is 125864489. The next prime is 125864513. The reversal of 125864500 is 5468521.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68595 + ... + 70405.

It is an arithmetic number, because the mean of its divisors is an integer number (5771220).

Almost surely, 2^125864500 is an apocalyptic number.

125864500 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 125864500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138509280).

125864500 is an abundant number, since it is smaller than the sum of its proper divisors (151154060).

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

125864500 is a wasteful number, since it uses less digits than its factorization.

125864500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 125864500 is about 11218.9348870559. The cubic root of 125864500 is about 501.1500195488.

The spelling of 125864500 in words is "one hundred twenty-five million, eight hundred sixty-four thousand, five hundred".