10145335032 has 192 divisors, whose sum is σ = 33171240960. Its totient is φ = 2739744000.

The previous prime is 10145335027. The next prime is 10145335091. The reversal of 10145335032 is 23053354101.

10145335032 is a `hidden beast` number, since 10 + 145 + 3 + 3 + 503 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10145334987 and 10145335005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 664282 + ... + 679382.

It is an arithmetic number, because the mean of its divisors is an integer number (172766880).

Almost surely, 2^10145335032 is an apocalyptic number.

10145335032 is a gapful number since it is divisible by the number (12) 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 10145335032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16585620480).

10145335032 is an abundant number, since it is smaller than the sum of its proper divisors (23025905928).

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

10145335032 is a wasteful number, since it uses less digits than its factorization.

10145335032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15194 (or 15187 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 10145335032 its reverse (23053354101), we get a palindrome (33198689133).

The spelling of 10145335032 in words is "ten billion, one hundred forty-five million, three hundred thirty-five thousand, thirty-two".