132768720 has 200 divisors, whose sum is σ = 527180544. Its totient is φ = 30336768.

The previous prime is 132768707. The next prime is 132768737. The reversal of 132768720 is 27867231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43897 + ... + 46823.

Almost surely, 2^132768720 is an apocalyptic number.

132768720 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 132768720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263590272).

132768720 is an abundant number, since it is smaller than the sum of its proper divisors (394411824).

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

132768720 is a wasteful number, since it uses less digits than its factorization.

132768720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 132768720 is about 11522.5309719697. The cubic root of 132768720 is about 510.1508204459.

The spelling of 132768720 in words is "one hundred thirty-two million, seven hundred sixty-eight thousand, seven hundred twenty".