10145535653172 has 24 divisors (see below), whose sum is σ = 23673171455136. Its totient is φ = 3381808799008.

The previous prime is 10145535653117. The next prime is 10145535653173. The reversal of 10145535653172 is 27135653554101.

It is a happy number.

It is a super-3 number, since 3×10145535653172³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145535653173) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3379503 + ... + 5631350.

It is an arithmetic number, because the mean of its divisors is an integer number (986382143964).

Almost surely, 2^{10145535653172} is an apocalyptic number.

10145535653172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10145535653172 is an abundant number, since it is smaller than the sum of its proper divisors (13527635801964).

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

10145535653172 is a wasteful number, since it uses less digits than its factorization.

10145535653172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9104687 (or 9104685 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 48.

The spelling of 10145535653172 in words is "ten trillion, one hundred forty-five billion, five hundred thirty-five million, six hundred fifty-three thousand, one hundred seventy-two".