15134533100 has 72 divisors (see below), whose sum is σ = 33595068528. Its totient is φ = 5916268800.

The previous prime is 15134533093. The next prime is 15134533109. The reversal of 15134533100 is 133543151.

15134533100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×15134533100² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 15134533100.

It is not an unprimeable number, because it can be changed into a prime (15134533109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949799 + ... + 965601.

It is an arithmetic number, because the mean of its divisors is an integer number (466598174).

Almost surely, 2^15134533100 is an apocalyptic number.

15134533100 is a gapful number since it is divisible by the number (10) 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 15134533100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16797534264).

15134533100 is an abundant number, since it is smaller than the sum of its proper divisors (18460535428).

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

15134533100 is a wasteful number, since it uses less digits than its factorization.

15134533100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16035 (or 16028 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The spelling of 15134533100 in words is "fifteen billion, one hundred thirty-four million, five hundred thirty-three thousand, one hundred".