188134752 has 96 divisors (see below), whose sum is σ = 536481792. Its totient is φ = 57383424.

The previous prime is 188134747. The next prime is 188134757. The reversal of 188134752 is 257431881.

188134752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (188134747) and next prime (188134757).

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 (39).

It is a self number, because there is not a number n which added to its sum of digits gives 188134752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188134757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157903 + ... + 159089.

It is an arithmetic number, because the mean of its divisors is an integer number (5588352).

Almost surely, 2^188134752 is an apocalyptic number.

188134752 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 188134752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268240896).

188134752 is an abundant number, since it is smaller than the sum of its proper divisors (348347040).

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

188134752 is a wasteful number, since it uses less digits than its factorization.

188134752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1332 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 188134752 is about 13716.2222204221. Note that the first 5 decimals coincide. The cubic root of 188134752 is about 573.0022690565.

It can be divided in two parts, 188 and 134752, that added together give a triangular number (134940 = T₅₁₉).

The spelling of 188134752 in words is "one hundred eighty-eight million, one hundred thirty-four thousand, seven hundred fifty-two".