132262766608336 has 640 divisors, whose sum is σ = 346333944320000. Its totient is φ = 48474080557056.

The previous prime is 132262766608327. The next prime is 132262766608351. The reversal of 132262766608336 is 633806667262231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12624101530 + ... + 12624112006.

It is an arithmetic number, because the mean of its divisors is an integer number (541146788000).

Almost surely, 2^{132262766608336} is an apocalyptic number.

132262766608336 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 132262766608336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173166972160000).

132262766608336 is an abundant number, since it is smaller than the sum of its proper divisors (214071177711664).

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

132262766608336 is a wasteful number, since it uses less digits than its factorization.

132262766608336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10744 (or 10724 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 61.

The spelling of 132262766608336 in words is "one hundred thirty-two trillion, two hundred sixty-two billion, seven hundred sixty-six million, six hundred eight thousand, three hundred thirty-six".