132935040 has 384 divisors, whose sum is σ = 551167200. Its totient is φ = 30191616.

The previous prime is 132935027. The next prime is 132935051. The reversal of 132935040 is 40539231.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132934995 and 132935013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846642 + ... + 846798.

Almost surely, 2^132935040 is an apocalyptic number.

132935040 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 132935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275583600).

132935040 is an abundant number, since it is smaller than the sum of its proper divisors (418232160).

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

132935040 is a wasteful number, since it uses less digits than its factorization.

132935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 132935040 is about 11529.7458775118. The cubic root of 132935040 is about 510.3637543336.

The spelling of 132935040 in words is "one hundred thirty-two million, nine hundred thirty-five thousand, forty".