201455146200 has 768 divisors, whose sum is σ = 831546777600. Its totient is φ = 39100723200.

The previous prime is 201455146183. The next prime is 201455146219. The reversal of 201455146200 is 2641554102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45689596 + ... + 45694004.

It is an arithmetic number, because the mean of its divisors is an integer number (1082743200).

Almost surely, 2^201455146200 is an apocalyptic number.

201455146200 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 201455146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415773388800).

201455146200 is an abundant number, since it is smaller than the sum of its proper divisors (630091631400).

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

201455146200 is a wasteful number, since it uses less digits than its factorization.

201455146200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 201455146200 in words is "two hundred one billion, four hundred fifty-five million, one hundred forty-six thousand, two hundred".