125345000 has 160 divisors (see below), whose sum is σ = 334018080. Its totient is φ = 43680000.

The previous prime is 125344991. The next prime is 125345021. The reversal of 125345000 is 543521.

It is a super-2 number, since 2×125345000² = 31422738050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2364974 + ... + 2365026.

It is an arithmetic number, because the mean of its divisors is an integer number (2087613).

Almost surely, 2^125345000 is an apocalyptic number.

125345000 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 125345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167009040).

125345000 is an abundant number, since it is smaller than the sum of its proper divisors (208673080).

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

125345000 is a wasteful number, since it uses less digits than its factorization.

125345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 125345000 is about 11195.7581252901. The cubic root of 125345000 is about 500.4595774477.

Adding to 125345000 its reverse (543521), we get a palindrome (125888521).

The spelling of 125345000 in words is "one hundred twenty-five million, three hundred forty-five thousand".