188029152 has 72 divisors (see below), whose sum is σ = 537231240. Its totient is φ = 62380800.

The previous prime is 188029097. The next prime is 188029189. The reversal of 188029152 is 251920881.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64527 + ... + 67377.

It is an arithmetic number, because the mean of its divisors is an integer number (7461545).

Almost surely, 2^188029152 is an apocalyptic number.

188029152 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 188029152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268615620).

188029152 is an abundant number, since it is smaller than the sum of its proper divisors (349202088).

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

188029152 is a wasteful number, since it uses less digits than its factorization.

188029152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 188029152 is about 13712.3722236526. The cubic root of 188029152 is about 572.8950403038.

The spelling of 188029152 in words is "one hundred eighty-eight million, twenty-nine thousand, one hundred fifty-two".