125915754320 has 90 divisors (see below), whose sum is σ = 296528330682. Its totient is φ = 49725186048.

The previous prime is 125915754313. The next prime is 125915754329. The reversal of 125915754320 is 23457519521.

It can be written as a sum of positive squares in 9 ways, for example, as 92313664 + 125823440656 = 9608^2 + 354716^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125915754329) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 307862276 + ... + 307862684.

Almost surely, 2^125915754320 is an apocalyptic number.

125915754320 is a gapful number since it is divisible by the number (10) 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 125915754320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148264165341).

125915754320 is an abundant number, since it is smaller than the sum of its proper divisors (170612576362).

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

125915754320 is an frugal number, since it uses more digits than its factorization.

125915754320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 44.

The spelling of 125915754320 in words is "one hundred twenty-five billion, nine hundred fifteen million, seven hundred fifty-four thousand, three hundred twenty".