125920896 has 64 divisors (see below), whose sum is σ = 341642880. Its totient is φ = 41074688.

The previous prime is 125920891. The next prime is 125920903. The reversal of 125920896 is 698029521.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (125920891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14560 + ... + 21536.

It is an arithmetic number, because the mean of its divisors is an integer number (5338170).

Almost surely, 2^125920896 is an apocalyptic number.

125920896 is a gapful number since it is divisible by the number (16) 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 125920896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170821440).

125920896 is an abundant number, since it is smaller than the sum of its proper divisors (215721984).

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

125920896 is an equidigital number, since it uses as much as digits as its factorization.

125920896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7041 (or 7029 counting only the distinct ones).

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

The square root of 125920896 is about 11221.4480349017. The cubic root of 125920896 is about 501.2248583273.

It can be divided in two parts, 1259 and 20896, that added together give a triangular number (22155 = T₂₁₀).

The spelling of 125920896 in words is "one hundred twenty-five million, nine hundred twenty thousand, eight hundred ninety-six".