652136106240 has 1296 divisors, whose sum is σ = 2544145705920. Its totient is φ = 159630704640.

The previous prime is 652136106239. The next prime is 652136106263. The reversal of 652136106240 is 42601631256.

652136106240 is a `hidden beast` number, since 6 + 5 + 2 + 13 + 6 + 10 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 652136106195 and 652136106204.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9733374687 + ... + 9733374753.

Almost surely, 2^652136106240 is an apocalyptic number.

652136106240 is a gapful number since it is divisible by the number (60) 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 652136106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272072852960).

652136106240 is an abundant number, since it is smaller than the sum of its proper divisors (1892009599680).

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

652136106240 is an frugal number, since it uses more digits than its factorization.

652136106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 652136106240 its reverse (42601631256), we get a palindrome (694737737496).

The spelling of 652136106240 in words is "six hundred fifty-two billion, one hundred thirty-six million, one hundred six thousand, two hundred forty".