132706339281756 has 720 divisors, whose sum is σ = 391113404922240. Its totient is φ = 39119398778880.

The previous prime is 132706339281749. The next prime is 132706339281811. The reversal of 132706339281756 is 657182933607231.

132706339281756 is a `hidden beast` number, since 1 + 3 + 2 + 70 + 6 + 3 + 392 + 8 + 175 + 6 = 666.

It is a super-2 number, since 2×132706339281756² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 132706339281693 and 132706339281702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 175305599730 + ... + 175305600486.

It is an arithmetic number, because the mean of its divisors is an integer number (543213062392).

Almost surely, 2^{132706339281756} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132706339281756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195556702461120).

132706339281756 is an abundant number, since it is smaller than the sum of its proper divisors (258407065640484).

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

132706339281756 is a wasteful number, since it uses less digits than its factorization.

132706339281756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 132706339281756 in words is "one hundred thirty-two trillion, seven hundred six billion, three hundred thirty-nine million, two hundred eighty-one thousand, seven hundred fifty-six".