132947040 has 96 divisors (see below), whose sum is σ = 421466976. Its totient is φ = 35225600.

The previous prime is 132947039. The next prime is 132947041. The reversal of 132947040 is 40749231.

It is a happy number.

132947040 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (132947039) and next prime (132947041).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132946989 and 132947007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132947041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82240 + ... + 83840.

It is an arithmetic number, because the mean of its divisors is an integer number (4390281).

Almost surely, 2^132947040 is an apocalyptic number.

132947040 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 132947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210733488).

132947040 is an abundant number, since it is smaller than the sum of its proper divisors (288519936).

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

132947040 is a wasteful number, since it uses less digits than its factorization.

132947040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 132947040 is about 11530.2662588511. The cubic root of 132947040 is about 510.3791106580.

The spelling of 132947040 in words is "one hundred thirty-two million, nine hundred forty-seven thousand, forty".