132758752896 has 1536 divisors, whose sum is σ = 544748544000. Its totient is φ = 31614105600.

The previous prime is 132758752831. The next prime is 132758752967. The reversal of 132758752896 is 698257857231.

132758752896 is a `hidden beast` number, since 1 + 3 + 27 + 5 + 87 + 528 + 9 + 6 = 666.

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

Its product of digits (50803200) is a multiple of the sum of its prime factors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4282540401 + ... + 4282540431.

It is an arithmetic number, because the mean of its divisors is an integer number (354654000).

Almost surely, 2^132758752896 is an apocalyptic number.

132758752896 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 132758752896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272374272000).

132758752896 is an abundant number, since it is smaller than the sum of its proper divisors (411989791104).

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

132758752896 is a wasteful number, since it uses less digits than its factorization.

132758752896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 73 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 132758752896 in words is "one hundred thirty-two billion, seven hundred fifty-eight million, seven hundred fifty-two thousand, eight hundred ninety-six".