125151210144 has 72 divisors (see below), whose sum is σ = 356918807700. Its totient is φ = 41597503488.

The previous prime is 125151210139. The next prime is 125151210161. The reversal of 125151210144 is 441012151521.

125151210144 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 512 + 1 + 0 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104238579600 + 20912630544 = 322860^2 + 144612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 522057 + ... + 723080.

Almost surely, 2^125151210144 is an apocalyptic number.

It is an amenable number.

125151210144 is an abundant number, since it is smaller than the sum of its proper divisors (231767597556).

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

125151210144 is a wasteful number, since it uses less digits than its factorization.

125151210144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245502 (or 1245491 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 125151210144 its reverse (441012151521), we get a palindrome (566163361665).

The spelling of 125151210144 in words is "one hundred twenty-five billion, one hundred fifty-one million, two hundred ten thousand, one hundred forty-four".