125152144 has 40 divisors (see below), whose sum is σ = 261983232. Its totient is φ = 57575040.

The previous prime is 125152129. The next prime is 125152151. The reversal of 125152144 is 441251521.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78879 + ... + 80449.

Almost surely, 2^125152144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125152144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130991616).

125152144 is an abundant number, since it is smaller than the sum of its proper divisors (136831088).

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

125152144 is a wasteful number, since it uses less digits than its factorization.

125152144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1969 counting only the distinct ones).

The product of its digits is 1600, while the sum is 25.

The square root of 125152144 is about 11187.1419048835. The cubic root of 125152144 is about 500.2027764190.

The spelling of 125152144 in words is "one hundred twenty-five million, one hundred fifty-two thousand, one hundred forty-four".