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132109488 = 243372792
BaseRepresentation
bin1111101111111…
…01010010110000
3100012120212011000
413313331102300
5232310000423
621035322000
73162624600
oct767752260
9305525130
10132109488
11686328a5
12382b0300
13214a69c4
141378cc00
15b8e8843
hex7dfd4b0

132109488 has 180 divisors, whose sum is σ = 446768280. Its totient is φ = 37267776.

The previous prime is 132109477. The next prime is 132109501. The reversal of 132109488 is 884901231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1672233 + ... + 1672311.

It is an arithmetic number, because the mean of its divisors is an integer number (2482046).

Almost surely, 2132109488 is an apocalyptic number.

132109488 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 132109488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223384140).

132109488 is an abundant number, since it is smaller than the sum of its proper divisors (314658792).

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

132109488 is an equidigital number, since it uses as much as digits as its factorization.

132109488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 132109488 is about 11493.8891590271. The cubic root of 132109488 is about 509.3050742859.

The spelling of 132109488 in words is "one hundred thirty-two million, one hundred nine thousand, four hundred eighty-eight".