132953779728 has 720 divisors, whose sum is σ = 495614945280. Its totient is φ = 33759348480.

The previous prime is 132953779727. The next prime is 132953779729. The reversal of 132953779728 is 827977359231.

132953779728 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 537 + 7 + 97 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (132953779727) and next prime (132953779729).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (132953779727) 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 143 ways as a sum of consecutive naturals, for example, 154776963 + ... + 154777821.

Almost surely, 2^132953779728 is an apocalyptic number.

132953779728 is a gapful number since it is divisible by the number (18) 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 132953779728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247807472640).

132953779728 is an abundant number, since it is smaller than the sum of its proper divisors (362661165552).

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

132953779728 is a wasteful number, since it uses less digits than its factorization.

132953779728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 929 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The spelling of 132953779728 in words is "one hundred thirty-two billion, nine hundred fifty-three million, seven hundred seventy-nine thousand, seven hundred twenty-eight".