132006434010 has 128 divisors (see below), whose sum is σ = 355338593280. Its totient is φ = 31108492800.

The previous prime is 132006434009. The next prime is 132006434011. The reversal of 132006434010 is 10434600231.

It is an interprime number because it is at equal distance from previous prime (132006434009) and next prime (132006434011).

It is not an unprimeable number, because it can be changed into a prime (132006434011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2972046 + ... + 3016134.

It is an arithmetic number, because the mean of its divisors is an integer number (2776082760).

Almost surely, 2^132006434010 is an apocalyptic number.

132006434010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132006434010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177669296640).

132006434010 is an abundant number, since it is smaller than the sum of its proper divisors (223332159270).

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

132006434010 is a wasteful number, since it uses less digits than its factorization.

132006434010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44364.

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 132006434010 in words is "one hundred thirty-two billion, six million, four hundred thirty-four thousand, ten".