132653524464640 has 176 divisors, whose sum is σ = 337082529745872. Its totient is φ = 49917752508416.

The previous prime is 132653524464581. The next prime is 132653524464763. The reversal of 132653524464640 is 46464425356231.

It can be written as a sum of positive squares in 8 ways, for example, as 21264638976 + 132632259825664 = 145824^2 + 11516608^2 .

It is a super-2 number, since 2×132653524464640² (a number of 29 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 194367834 + ... + 195049126.

Almost surely, 2^{132653524464640} is an apocalyptic number.

132653524464640 is a gapful number since it is divisible by the number (10) 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 132653524464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168541264872936).

132653524464640 is an abundant number, since it is smaller than the sum of its proper divisors (204429005281232).

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

132653524464640 is a wasteful number, since it uses less digits than its factorization.

132653524464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683572 (or 683554 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 55.

The spelling of 132653524464640 in words is "one hundred thirty-two trillion, six hundred fifty-three billion, five hundred twenty-four million, four hundred sixty-four thousand, six hundred forty".