132961248 has 144 divisors (see below), whose sum is σ = 437070816. Its totient is φ = 37555200.

The previous prime is 132961243. The next prime is 132961249. The reversal of 132961248 is 842169231.

132961248 is a `hidden beast` number, since 1 + 32 + 9 + 612 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 not an unprimeable number, because it can be changed into a prime (132961243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203290 + ... + 203942.

It is an arithmetic number, because the mean of its divisors is an integer number (3035214).

Almost surely, 2^132961248 is an apocalyptic number.

132961248 is a gapful number since it is divisible by the number (18) 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 132961248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218535408).

132961248 is an abundant number, since it is smaller than the sum of its proper divisors (304109568).

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

132961248 is a wasteful number, since it uses less digits than its factorization.

132961248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 766 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 132961248 is about 11530.8823599931. The cubic root of 132961248 is about 510.3972913513.

The spelling of 132961248 in words is "one hundred thirty-two million, nine hundred sixty-one thousand, two hundred forty-eight".