132790979458368 has 2240 divisors, whose sum is σ = 533428784824320. Its totient is φ = 31637097676800.

The previous prime is 132790979458367. The next prime is 132790979458381. The reversal of 132790979458368 is 863854979097231.

132790979458368 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 90 + 9 + 79 + 458 + 3 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132790979458367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 32160564528 + ... + 32160568656.

It is an arithmetic number, because the mean of its divisors is an integer number (238137850368).

It is a 1-persistent number, because it is pandigital, but 2⋅132790979458368 = 265581958916736 is not.

Almost surely, 2^{132790979458368} is an apocalyptic number.

132790979458368 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 132790979458368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266714392412160).

132790979458368 is an abundant number, since it is smaller than the sum of its proper divisors (400637805365952).

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

132790979458368 is a wasteful number, since it uses less digits than its factorization.

132790979458368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4338 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 4938071040, while the sum is 81.

The spelling of 132790979458368 in words is "one hundred thirty-two trillion, seven hundred ninety billion, nine hundred seventy-nine million, four hundred fifty-eight thousand, three hundred sixty-eight".