125321000 has 64 divisors (see below), whose sum is σ = 335162880. Its totient is φ = 42964800.

The previous prime is 125320999. The next prime is 125321029. The reversal of 125321000 is 123521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 1952 + ... + 15951.

It is an arithmetic number, because the mean of its divisors is an integer number (5236920).

Almost surely, 2^125321000 is an apocalyptic number.

125321000 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 125321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167581440).

125321000 is an abundant number, since it is smaller than the sum of its proper divisors (209841880).

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

125321000 is a wasteful number, since it uses less digits than its factorization.

125321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17931 (or 17917 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 125321000 is about 11194.6862394620. The cubic root of 125321000 is about 500.4276341538.

Adding to 125321000 its reverse (123521), we get a palindrome (125444521).

The spelling of 125321000 in words is "one hundred twenty-five million, three hundred twenty-one thousand".