125073840 has 80 divisors (see below), whose sum is σ = 400260096. Its totient is φ = 32275200.

The previous prime is 125073833. The next prime is 125073847. The reversal of 125073840 is 48370521.

It is an interprime number because it is at equal distance from previous prime (125073833) and next prime (125073847).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 125073798 and 125073807.

It is not an unprimeable number, because it can be changed into a prime (125073847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966 + ... + 15845.

Almost surely, 2^125073840 is an apocalyptic number.

125073840 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 125073840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200130048).

125073840 is an abundant number, since it is smaller than the sum of its proper divisors (275186256).

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

125073840 is a wasteful number, since it uses less digits than its factorization.

125073840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16858 (or 16852 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 125073840 is about 11183.6416251595. The cubic root of 125073840 is about 500.0984339536.

The spelling of 125073840 in words is "one hundred twenty-five million, seventy-three thousand, eight hundred forty".