132702000 has 160 divisors (see below), whose sum is σ = 453345984. Its totient is φ = 33280000.

The previous prime is 132701957. The next prime is 132702001. The reversal of 132702000 is 207231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (132702001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101350 + ... + 102650.

Almost surely, 2^132702000 is an apocalyptic number.

132702000 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 132702000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226672992).

132702000 is an abundant number, since it is smaller than the sum of its proper divisors (320643984).

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

132702000 is a wasteful number, since it uses less digits than its factorization.

132702000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 132702000 is about 11519.6354108973. The cubic root of 132702000 is about 510.0653511027.

Adding to 132702000 its reverse (207231), we get a palindrome (132909231).

The spelling of 132702000 in words is "one hundred thirty-two million, seven hundred two thousand".