132961500 has 360 divisors, whose sum is σ = 512143632. Its totient is φ = 29937600.

The previous prime is 132961481. The next prime is 132961501. The reversal of 132961500 is 5169231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132961501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1984467 + ... + 1984533.

Almost surely, 2^132961500 is an apocalyptic number.

132961500 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 132961500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256071816).

132961500 is an abundant number, since it is smaller than the sum of its proper divisors (379182132).

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

132961500 is a wasteful number, since it uses less digits than its factorization.

132961500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 132961500 is about 11530.8932871656. The cubic root of 132961500 is about 510.3976138013.

The spelling of 132961500 in words is "one hundred thirty-two million, nine hundred sixty-one thousand, five hundred".