10156128 has 48 divisors (see below), whose sum is σ = 27074880. Its totient is φ = 3332736.

The previous prime is 10156049. The next prime is 10156187. The reversal of 10156128 is 82165101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10156098 and 10156107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5643 + ... + 7221.

It is an arithmetic number, because the mean of its divisors is an integer number (564060).

Almost surely, 2^10156128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10156128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13537440).

10156128 is an abundant number, since it is smaller than the sum of its proper divisors (16918752).

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

10156128 is a wasteful number, since it uses less digits than its factorization.

10156128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 10156128 is about 3186.8680550032. The cubic root of 10156128 is about 216.5589092042.

The spelling of 10156128 in words is "ten million, one hundred fifty-six thousand, one hundred twenty-eight".