132781700 has 36 divisors (see below), whose sum is σ = 289898112. Its totient is φ = 52788000.

The previous prime is 132781697. The next prime is 132781703. The reversal of 132781700 is 7187231.

It is an interprime number because it is at equal distance from previous prime (132781697) and next prime (132781703).

It is a super-3 number, since 3×132781700³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132781703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12725 + ... + 20675.

Almost surely, 2^132781700 is an apocalyptic number.

132781700 is a gapful number since it is divisible by the number (10) 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 132781700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144949056).

132781700 is an abundant number, since it is smaller than the sum of its proper divisors (157116412).

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

132781700 is a wasteful number, since it uses less digits than its factorization.

132781700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8132 (or 8125 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 132781700 is about 11523.0942025135. The cubic root of 132781700 is about 510.1674446977.

The spelling of 132781700 in words is "one hundred thirty-two million, seven hundred eighty-one thousand, seven hundred".