10252132145040 has 80 divisors (see below), whose sum is σ = 31781985572736. Its totient is φ = 2733869568000.

The previous prime is 10252132144997. The next prime is 10252132145111. The reversal of 10252132145040 is 4054123125201.

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 = 10252132144989 and 10252132145007.

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 15 ways as a sum of consecutive naturals, for example, 25565280 + ... + 25963200.

Almost surely, 2^{10252132145040} is an apocalyptic number.

10252132145040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10252132145040 is an abundant number, since it is smaller than the sum of its proper divisors (21529853427696).

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

10252132145040 is a wasteful number, since it uses less digits than its factorization.

10252132145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505288 (or 505282 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 10252132145040 in words is "ten trillion, two hundred fifty-two billion, one hundred thirty-two million, one hundred forty-five thousand, forty".