132706536 has 64 divisors (see below), whose sum is σ = 345876480. Its totient is φ = 42383040.

The previous prime is 132706513. The next prime is 132706559. The reversal of 132706536 is 635607231.

132706536 = T₇₁ + T₇₂ + ... + T₉₂₆.

It is an interprime number because it is at equal distance from previous prime (132706513) and next prime (132706559).

It is a super-2 number, since 2×132706536² = 35222049394238592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132706497 and 132706506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78775 + ... + 80441.

It is an arithmetic number, because the mean of its divisors is an integer number (5404320).

Almost surely, 2^132706536 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 132706536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172938240).

132706536 is an abundant number, since it is smaller than the sum of its proper divisors (213169944).

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

132706536 is a wasteful number, since it uses less digits than its factorization.

132706536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 132706536 is about 11519.8322904459. The cubic root of 132706536 is about 510.0711626958.

The spelling of 132706536 in words is "one hundred thirty-two million, seven hundred six thousand, five hundred thirty-six".