132762240 has 320 divisors, whose sum is σ = 513180360. Its totient is φ = 32514048.

The previous prime is 132762239. The next prime is 132762257. The reversal of 132762240 is 42267231.

132762240 is a `hidden beast` number, since 1 + 32 + 7 + 622 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118200384 + 14561856 = 10872^2 + 3816^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

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 39 ways as a sum of consecutive naturals, for example, 673822 + ... + 674018.

Almost surely, 2^132762240 is an apocalyptic number.

132762240 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 132762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256590180).

132762240 is an abundant number, since it is smaller than the sum of its proper divisors (380418120).

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

132762240 is a wasteful number, since it uses less digits than its factorization.

132762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 132762240 is about 11522.2497803163. The cubic root of 132762240 is about 510.1425207222.

The spelling of 132762240 in words is "one hundred thirty-two million, seven hundred sixty-two thousand, two hundred forty".