201505125840 has 160 divisors (see below), whose sum is σ = 631939553280. Its totient is φ = 53112648192.

The previous prime is 201505125827. The next prime is 201505125851. The reversal of 201505125840 is 48521505102.

201505125840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7160277 + ... + 7188363.

It is an arithmetic number, because the mean of its divisors is an integer number (3949622208).

Almost surely, 2^201505125840 is an apocalyptic number.

201505125840 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 201505125840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315969776640).

201505125840 is an abundant number, since it is smaller than the sum of its proper divisors (430434427440).

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

201505125840 is a wasteful number, since it uses less digits than its factorization.

201505125840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28449 (or 28443 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 33.

The spelling of 201505125840 in words is "two hundred one billion, five hundred five million, one hundred twenty-five thousand, eight hundred forty".