132150720 has 112 divisors (see below), whose sum is σ = 451896480. Its totient is φ = 32526336.

The previous prime is 132150713. The next prime is 132150727. The reversal of 132150720 is 27051231.

132150720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132150713) and next prime (132150727).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132150727) 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 15 ways as a sum of consecutive naturals, for example, 7186 + ... + 17774.

It is an arithmetic number, because the mean of its divisors is an integer number (4034790).

Almost surely, 2^132150720 is an apocalyptic number.

132150720 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 132150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225948240).

132150720 is an abundant number, since it is smaller than the sum of its proper divisors (319745760).

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

132150720 is a wasteful number, since it uses less digits than its factorization.

132150720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10622 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 132150720 is about 11495.6826678540. The cubic root of 132150720 is about 509.3580542872.

It can be divided in two parts, 132150 and 720, that added together give a triangular number (132870 = T₅₁₅).

The spelling of 132150720 in words is "one hundred thirty-two million, one hundred fifty thousand, seven hundred twenty".