10145251240 has 32 divisors (see below), whose sum is σ = 23819287680. Its totient is φ = 3881660992.

The previous prime is 10145251219. The next prime is 10145251261. The reversal of 10145251240 is 4215254101.

It is an interprime number because it is at equal distance from previous prime (10145251219) and next prime (10145251261).

It is a super-3 number, since 3×10145251240³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5512804 + ... + 5514643.

It is an arithmetic number, because the mean of its divisors is an integer number (744352740).

Almost surely, 2^10145251240 is an apocalyptic number.

10145251240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145251240 is an abundant number, since it is smaller than the sum of its proper divisors (13674036440).

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

10145251240 is a wasteful number, since it uses less digits than its factorization.

10145251240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11027481 (or 11027477 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 10145251240 in words is "ten billion, one hundred forty-five million, two hundred fifty-one thousand, two hundred forty".