132612040 has 64 divisors (see below), whose sum is σ = 333486720. Its totient is φ = 47040000.

The previous prime is 132612031. The next prime is 132612059. The reversal of 132612040 is 40216231.

It is a junction number, because it is equal to n+sod(n) for n = 132611999 and 132612017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14365 + ... + 21715.

It is an arithmetic number, because the mean of its divisors is an integer number (5210730).

Almost surely, 2^132612040 is an apocalyptic number.

132612040 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 132612040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166743360).

132612040 is an abundant number, since it is smaller than the sum of its proper divisors (200874680).

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

132612040 is a wasteful number, since it uses less digits than its factorization.

132612040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414 (or 7410 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 132612040 is about 11515.7301114606. The cubic root of 132612040 is about 509.9500655968.

Adding to 132612040 its reverse (40216231), we get a palindrome (172828271).

It can be divided in two parts, 1326 and 12040, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 132612040 in words is "one hundred thirty-two million, six hundred twelve thousand, forty".