201154320 has 160 divisors (see below), whose sum is σ = 723168000. Its totient is φ = 51296256.

The previous prime is 201154309. The next prime is 201154333. The reversal of 201154320 is 23451102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201154293 and 201154302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47656 + ... + 51704.

It is an arithmetic number, because the mean of its divisors is an integer number (4519800).

Almost surely, 2^201154320 is an apocalyptic number.

201154320 is a gapful number since it is divisible by the number (20) 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 201154320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361584000).

201154320 is an abundant number, since it is smaller than the sum of its proper divisors (522013680).

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

201154320 is a wasteful number, since it uses less digits than its factorization.

201154320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 201154320 is about 14182.8882813058. Note that the first 3 decimals coincide. The cubic root of 201154320 is about 585.9264740965.

The spelling of 201154320 in words is "two hundred one million, one hundred fifty-four thousand, three hundred twenty".