125962980 has 192 divisors, whose sum is σ = 423698688. Its totient is φ = 27555840.

The previous prime is 125962943. The next prime is 125962999. The reversal of 125962980 is 89269521.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 454602 + ... + 454878.

It is an arithmetic number, because the mean of its divisors is an integer number (2206764).

Almost surely, 2^125962980 is an apocalyptic number.

125962980 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 125962980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211849344).

125962980 is an abundant number, since it is smaller than the sum of its proper divisors (297735708).

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

125962980 is a wasteful number, since it uses less digits than its factorization.

125962980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 125962980 is about 11223.3230373183. The cubic root of 125962980 is about 501.2806901978.

It can be divided in two parts, 12596 and 2980, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 125962980 in words is "one hundred twenty-five million, nine hundred sixty-two thousand, nine hundred eighty".