52145100240 has 160 divisors (see below), whose sum is σ = 172312780800. Its totient is φ = 13006656000.

The previous prime is 52145100239. The next prime is 52145100247. The reversal of 52145100240 is 4200154125.

It is a super-2 number, since 2×52145100240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 52145100240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52145100247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287865 + ... + 432615.

It is an arithmetic number, because the mean of its divisors is an integer number (1076954880).

Almost surely, 2^52145100240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52145100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86156390400).

52145100240 is an abundant number, since it is smaller than the sum of its proper divisors (120167680560).

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

52145100240 is a wasteful number, since it uses less digits than its factorization.

52145100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144865 (or 144859 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 52145100240 its reverse (4200154125), we get a palindrome (56345254365).

The spelling of 52145100240 in words is "fifty-two billion, one hundred forty-five million, one hundred thousand, two hundred forty".