132551760 has 320 divisors, whose sum is σ = 488540160. Its totient is φ = 29399040.

The previous prime is 132551759. The next prime is 132551767. The reversal of 132551760 is 67155231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132551767) 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 63 ways as a sum of consecutive naturals, for example, 2246611 + ... + 2246669.

It is an arithmetic number, because the mean of its divisors is an integer number (1526688).

Almost surely, 2^132551760 is an apocalyptic number.

132551760 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 132551760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244270080).

132551760 is an abundant number, since it is smaller than the sum of its proper divisors (355988400).

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

132551760 is a wasteful number, since it uses less digits than its factorization.

132551760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 132551760 is about 11513.1125244219. The cubic root of 132551760 is about 509.8727864176.

The spelling of 132551760 in words is "one hundred thirty-two million, five hundred fifty-one thousand, seven hundred sixty".