187225920 has 336 divisors, whose sum is σ = 758878848. Its totient is φ = 41472000.

The previous prime is 187225891. The next prime is 187225933. The reversal of 187225920 is 29522781.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 745795 + ... + 746045.

It is an arithmetic number, because the mean of its divisors is an integer number (2258568).

Almost surely, 2^187225920 is an apocalyptic number.

187225920 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 187225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379439424).

187225920 is an abundant number, since it is smaller than the sum of its proper divisors (571652928).

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

187225920 is a wasteful number, since it uses less digits than its factorization.

187225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 187225920 is about 13683.0522910643. The cubic root of 187225920 is about 572.0781023644.

It can be divided in two parts, 18722 and 5920, that added together give a palindrome (24642).

The spelling of 187225920 in words is "one hundred eighty-seven million, two hundred twenty-five thousand, nine hundred twenty".