187345152 has 216 divisors, whose sum is σ = 579907328. Its totient is φ = 58060800.

The previous prime is 187345139. The next prime is 187345177. The reversal of 187345152 is 251543781.

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

Its product of digits (33600) is a multiple of the sum of its prime divisors (140).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3071202 + ... + 3071262.

Almost surely, 2^187345152 is an apocalyptic number.

187345152 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 187345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289953664).

187345152 is an abundant number, since it is smaller than the sum of its proper divisors (392562176).

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

187345152 is a wasteful number, since it uses less digits than its factorization.

187345152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 187345152 is about 13687.4085202422. The cubic root of 187345152 is about 572.1995163615.

The spelling of 187345152 in words is "one hundred eighty-seven million, three hundred forty-five thousand, one hundred fifty-two".