10125745140 has 288 divisors, whose sum is σ = 34260323328. Its totient is φ = 2225664000.

The previous prime is 10125745127. The next prime is 10125745163. The reversal of 10125745140 is 4154752101.

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 = 10125745098 and 10125745107.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 21964510 + ... + 21964970.

It is an arithmetic number, because the mean of its divisors is an integer number (118959456).

Almost surely, 2^10125745140 is an apocalyptic number.

10125745140 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 10125745140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17130161664).

10125745140 is an abundant number, since it is smaller than the sum of its proper divisors (24134578188).

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

10125745140 is a wasteful number, since it uses less digits than its factorization.

10125745140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The spelling of 10125745140 in words is "ten billion, one hundred twenty-five million, seven hundred forty-five thousand, one hundred forty".