132636720 has 320 divisors, whose sum is σ = 482112000. Its totient is φ = 29933568.

The previous prime is 132636709. The next prime is 132636727. The reversal of 132636720 is 27636231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (132636727) 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, 2248051 + ... + 2248109.

It is an arithmetic number, because the mean of its divisors is an integer number (1506600).

Almost surely, 2^132636720 is an apocalyptic number.

132636720 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 132636720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241056000).

132636720 is an abundant number, since it is smaller than the sum of its proper divisors (349475280).

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

132636720 is a wasteful number, since it uses less digits than its factorization.

132636720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 132636720 is about 11516.8016393441. The cubic root of 132636720 is about 509.9816986897.

The spelling of 132636720 in words is "one hundred thirty-two million, six hundred thirty-six thousand, seven hundred twenty".