125468001 has 32 divisors (see below), whose sum is σ = 197260800. Its totient is φ = 78595920.

The previous prime is 125467997. The next prime is 125468011. The reversal of 125468001 is 100864521.

It is not a de Polignac number, because 125468001 - 2² = 125467997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (125468011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66270 + ... + 68136.

It is an arithmetic number, because the mean of its divisors is an integer number (6164400).

Almost surely, 2^125468001 is an apocalyptic number.

125468001 is the 5601-st decagonal number.

It is an amenable number.

125468001 is a deficient number, since it is larger than the sum of its proper divisors (71792799).

125468001 is a wasteful number, since it uses less digits than its factorization.

125468001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 125468001 is about 11201.2499748912. The cubic root of 125468001 is about 500.6232241938.

The spelling of 125468001 in words is "one hundred twenty-five million, four hundred sixty-eight thousand, one".