132913138378752 has 576 divisors, whose sum is σ = 402563921760000. Its totient is φ = 42167536975872.

The previous prime is 132913138378723. The next prime is 132913138378759. The reversal of 132913138378752 is 257873831319231.

It is a happy number.

132913138378752 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 131 + 383 + 78 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 132913138378752.

It is not an unprimeable number, because it can be changed into a prime (132913138378759) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137448953373 + ... + 137448954339.

It is an arithmetic number, because the mean of its divisors is an integer number (698895697500).

Almost surely, 2^{132913138378752} is an apocalyptic number.

132913138378752 is a gapful number since it is divisible by the number (12) 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 132913138378752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201281960880000).

132913138378752 is an abundant number, since it is smaller than the sum of its proper divisors (269650783381248).

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

132913138378752 is a wasteful number, since it uses less digits than its factorization.

132913138378752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2273 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 132913138378752 in words is "one hundred thirty-two trillion, nine hundred thirteen billion, one hundred thirty-eight million, three hundred seventy-eight thousand, seven hundred fifty-two".