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132163152 = 243112310883
BaseRepresentation
bin1111110000010…
…10011001010000
3100012200120202120
413320022121100
5232313210102
621040414240
73163240212
oct770123120
9305616676
10132163152
116866a150
1238317380
13214c5264
14137a45b2
15b9096bc
hex7e0a650

132163152 has 80 divisors (see below), whose sum is σ = 388689408. Its totient is φ = 38304640.

The previous prime is 132163099. The next prime is 132163153. The reversal of 132163152 is 251361231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132163153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6703 + ... + 17585.

Almost surely, 2132163152 is an apocalyptic number.

132163152 is a gapful number since it is divisible by the number (12) 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 132163152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194344704).

132163152 is an abundant number, since it is smaller than the sum of its proper divisors (256526256).

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

132163152 is a wasteful number, since it uses less digits than its factorization.

132163152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10928 (or 10922 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 132163152 is about 11496.2233798757. The cubic root of 132163152 is about 509.3740263045.

The spelling of 132163152 in words is "one hundred thirty-two million, one hundred sixty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 6072 10883 12144 21766 32649 43532 65298 87064 119713 130596 174128 239426 250309 261192 359139 478852 500618 522384 718278 750927 957704 1001236 1436556 1501854 1915408 2002472 2753399 2873112 3003708 4004944 5506798 5746224 6007416 8260197 11013596 12014832 16520394 22027192 33040788 44054384 66081576 132163152