132679440 has 120 divisors (see below), whose sum is σ = 449399808. Its totient is φ = 35078400.

The previous prime is 132679429. The next prime is 132679501. The reversal of 132679440 is 44976231.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132679395 and 132679404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90715 + ... + 92165.

Almost surely, 2^132679440 is an apocalyptic number.

132679440 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 132679440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224699904).

132679440 is an abundant number, since it is smaller than the sum of its proper divisors (316720368).

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

132679440 is a wasteful number, since it uses less digits than its factorization.

132679440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 132679440 is about 11518.6561716200. The cubic root of 132679440 is about 510.0364449157.

The spelling of 132679440 in words is "one hundred thirty-two million, six hundred seventy-nine thousand, four hundred forty".