132561954 has 128 divisors (see below), whose sum is σ = 364608000. Its totient is φ = 35562240.

The previous prime is 132561901. The next prime is 132561959. The reversal of 132561954 is 459165231.

132561954 is a `hidden beast` number, since 1 + 3 + 2 + 561 + 95 + 4 = 666.

Its product of digits (32400) is a multiple of the sum of its prime divisors (450).

It is not an unprimeable number, because it can be changed into a prime (132561959) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314664 + ... + 315084.

It is an arithmetic number, because the mean of its divisors is an integer number (2848500).

Almost surely, 2^132561954 is an apocalyptic number.

132561954 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132561954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182304000).

132561954 is an abundant number, since it is smaller than the sum of its proper divisors (232046046).

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

132561954 is a wasteful number, since it uses less digits than its factorization.

132561954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 450 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 132561954 is about 11513.5552285122. Note that the first 3 decimals coincide. The cubic root of 132561954 is about 509.8858568084.

The spelling of 132561954 in words is "one hundred thirty-two million, five hundred sixty-one thousand, nine hundred fifty-four".