201764145000 has 320 divisors, whose sum is σ = 706217688000. Its totient is φ = 47589120000.

The previous prime is 201764144999. The next prime is 201764145029. The reversal of 201764145000 is 541467102.

201764145000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6088476 + ... + 6121524.

It is an arithmetic number, because the mean of its divisors is an integer number (2206930275).

Almost surely, 2^201764145000 is an apocalyptic number.

201764145000 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 201764145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353108844000).

201764145000 is an abundant number, since it is smaller than the sum of its proper divisors (504453543000).

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

201764145000 is a wasteful number, since it uses less digits than its factorization.

201764145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33126 (or 33107 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 201764145000 in words is "two hundred one billion, seven hundred sixty-four million, one hundred forty-five thousand".