132753127936 has 160 divisors (see below), whose sum is σ = 314020276416. Its totient is φ = 55271424000.

The previous prime is 132753127919. The next prime is 132753127937. The reversal of 132753127936 is 639721357231.

It is a self number, because there is not a number n which added to its sum of digits gives 132753127936.

It is not an unprimeable number, because it can be changed into a prime (132753127937) by changing a digit.

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, 9584376 + ... + 9598216.

Almost surely, 2^132753127936 is an apocalyptic number.

132753127936 is a gapful number since it is divisible by the number (16) 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 132753127936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157010138208).

132753127936 is an abundant number, since it is smaller than the sum of its proper divisors (181267148480).

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

132753127936 is a wasteful number, since it uses less digits than its factorization.

132753127936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14014 (or 13998 counting only the distinct ones).

The product of its digits is 1428840, while the sum is 49.

The spelling of 132753127936 in words is "one hundred thirty-two billion, seven hundred fifty-three million, one hundred twenty-seven thousand, nine hundred thirty-six".