132451120 has 80 divisors (see below), whose sum is σ = 327389760. Its totient is φ = 49738752.

The previous prime is 132451079. The next prime is 132451133. The reversal of 132451120 is 21154231.

132451120 = T₁₄₈₉ + T₁₄₉₀ + ... + T₁₅₉₉.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 85069 + ... + 86611.

It is an arithmetic number, because the mean of its divisors is an integer number (4092372).

Almost surely, 2^132451120 is an apocalyptic number.

132451120 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 132451120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163694880).

132451120 is an abundant number, since it is smaller than the sum of its proper divisors (194938640).

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

132451120 is a wasteful number, since it uses less digits than its factorization.

132451120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 132451120 is about 11508.7410258464. The cubic root of 132451120 is about 509.7437133437.

It can be divided in two parts, 13245 and 1120, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 132451120 in words is "one hundred thirty-two million, four hundred fifty-one thousand, one hundred twenty".