189187152 has 160 divisors (see below), whose sum is σ = 645387264. Its totient is φ = 46233600.

The previous prime is 189187147. The next prime is 189187181. The reversal of 189187152 is 251781981.

It is a super-3 number, since 3×189187152³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 61327 + ... + 64337.

Almost surely, 2^189187152 is an apocalyptic number.

189187152 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 189187152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322693632).

189187152 is an abundant number, since it is smaller than the sum of its proper divisors (456200112).

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

189187152 is a wasteful number, since it uses less digits than its factorization.

189187152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3051 counting only the distinct ones).

The product of its digits is 40320, while the sum is 42.

The square root of 189187152 is about 13754.5320531089. The cubic root of 189187152 is about 574.0687150392.

The spelling of 189187152 in words is "one hundred eighty-nine million, one hundred eighty-seven thousand, one hundred fifty-two".