132934464 has 168 divisors, whose sum is σ = 421321992. Its totient is φ = 39813120.

The previous prime is 132934447. The next prime is 132934481. The reversal of 132934464 is 464439231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132934447) and next prime (132934481).

It can be written as a sum of positive squares in 4 ways, for example, as 12110400 + 120824064 = 3480^2 + 10992^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 306792 + ... + 307224.

It is an arithmetic number, because the mean of its divisors is an integer number (2507869).

Almost surely, 2^132934464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210660996).

132934464 is an abundant number, since it is smaller than the sum of its proper divisors (288387528).

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

132934464 is a wasteful number, since it uses less digits than its factorization.

132934464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 492 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 132934464 is about 11529.7208986168. The cubic root of 132934464 is about 510.3630172068.

The spelling of 132934464 in words is "one hundred thirty-two million, nine hundred thirty-four thousand, four hundred sixty-four".