125066144 has 48 divisors (see below), whose sum is σ = 297960768. Its totient is φ = 50445312.

The previous prime is 125066141. The next prime is 125066173. The reversal of 125066144 is 441660521.

It is not an unprimeable number, because it can be changed into a prime (125066141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12614 + ... + 20229.

It is an arithmetic number, because the mean of its divisors is an integer number (6207516).

Almost surely, 2^125066144 is an apocalyptic number.

125066144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

125066144 is an abundant number, since it is smaller than the sum of its proper divisors (172894624).

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

125066144 is a wasteful number, since it uses less digits than its factorization.

125066144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32877 (or 32869 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 125066144 is about 11183.2975458941. The cubic root of 125066144 is about 500.0881764489.

The spelling of 125066144 in words is "one hundred twenty-five million, sixty-six thousand, one hundred forty-four".