10151136 has 96 divisors (see below), whose sum is σ = 30643200. Its totient is φ = 3265920.

The previous prime is 10151123. The next prime is 10151137. The reversal of 10151136 is 63115101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10151137) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26595 + ... + 26973.

It is an arithmetic number, because the mean of its divisors is an integer number (319200).

Almost surely, 2^10151136 is an apocalyptic number.

10151136 is a gapful number since it is divisible by the number (16) 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 10151136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15321600).

10151136 is an abundant number, since it is smaller than the sum of its proper divisors (20492064).

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

10151136 is a wasteful number, since it uses less digits than its factorization.

10151136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 10151136 is about 3186.0847446356. The cubic root of 10151136 is about 216.5234219514.

Adding to 10151136 its reverse (63115101), we get a palindrome (73266237).

The spelling of 10151136 in words is "ten million, one hundred fifty-one thousand, one hundred thirty-six".