10000152 has 64 divisors (see below), whose sum is σ = 28233600. Its totient is φ = 3278880.

The previous prime is 10000141. The next prime is 10000169. The reversal of 10000152 is 25100001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14127 + ... + 14817.

It is an arithmetic number, because the mean of its divisors is an integer number (441150).

Almost surely, 2^10000152 is an apocalyptic number.

10000152 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 10000152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14116800).

10000152 is an abundant number, since it is smaller than the sum of its proper divisors (18233448).

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

10000152 is a wasteful number, since it uses less digits than its factorization.

10000152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10000152 is about 3162.3016933873. The cubic root of 10000152 is about 215.4445605779. Note that the first 3 decimals are identical.

Adding to 10000152 its reverse (25100001), we get a palindrome (35100153).

The spelling of 10000152 in words is "ten million, one hundred fifty-two", and thus it is an aban number.