125236972309248 has 360 divisors, whose sum is σ = 392645029303296. Its totient is φ = 39625795123200.

The previous prime is 125236972309247. The next prime is 125236972309249. The reversal of 125236972309248 is 842903279632521.

125236972309248 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 369 + 7 + 23 + 0 + 9 + 248 = 666.

It is an interprime number because it is at equal distance from previous prime (125236972309247) and next prime (125236972309249).

It is not an unprimeable number, because it can be changed into a prime (125236972309247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61475313 + ... + 63479823.

It is a 2-persistent number, because it is pandigital, and so is 2⋅125236972309248 = 250473944618496, but 3⋅125236972309248 = 375710916927744 is not.

Almost surely, 2^{125236972309248} is an apocalyptic number.

125236972309248 is a gapful number since it is divisible by the number (18) 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 125236972309248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196322514651648).

125236972309248 is an abundant number, since it is smaller than the sum of its proper divisors (267408056994048).

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

125236972309248 is a wasteful number, since it uses less digits than its factorization.

125236972309248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004693 (or 2004670 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 125236972309248 in words is "one hundred twenty-five trillion, two hundred thirty-six billion, nine hundred seventy-two million, three hundred nine thousand, two hundred forty-eight".