125065920 has 224 divisors, whose sum is σ = 467002368. Its totient is φ = 27758592.

The previous prime is 125065909. The next prime is 125065931. The reversal of 125065920 is 29560521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125065909) and next prime (125065931).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248389 + ... + 248891.

It is an arithmetic number, because the mean of its divisors is an integer number (2084832).

Almost surely, 2^125065920 is an apocalyptic number.

125065920 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 125065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233501184).

125065920 is an abundant number, since it is smaller than the sum of its proper divisors (341936448).

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

125065920 is a wasteful number, since it uses less digits than its factorization.

125065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 125065920 is about 11183.2875309544. The cubic root of 125065920 is about 500.0878778874.

The spelling of 125065920 in words is "one hundred twenty-five million, sixty-five thousand, nine hundred twenty".