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132876150 = 23521127321
BaseRepresentation
bin1111110101110…
…00011101110110
3100021000210210220
413322320131312
5233004014100
621103555210
73202300011
oct772703566
9307023726
10132876150
1169006900
12385bbb06
13216b4954
141390c378
15b9eaaa0
hex7eb8776

132876150 has 72 divisors (see below), whose sum is σ = 362263272. Its totient is φ = 32208000.

The previous prime is 132876143. The next prime is 132876157. The reversal of 132876150 is 51678231.

It is an interprime number because it is at equal distance from previous prime (132876143) and next prime (132876157).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132876157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14490 + ... + 21810.

Almost surely, 2132876150 is an apocalyptic number.

132876150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132876150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181131636).

132876150 is an abundant number, since it is smaller than the sum of its proper divisors (229387122).

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

132876150 is a wasteful number, since it uses less digits than its factorization.

132876150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7358 (or 7342 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 132876150 is about 11527.1917655602. The cubic root of 132876150 is about 510.2883797729.

The spelling of 132876150 in words is "one hundred thirty-two million, eight hundred seventy-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 150 165 242 275 330 363 550 605 726 825 1210 1650 1815 3025 3630 6050 7321 9075 14642 18150 21963 36605 43926 73210 80531 109815 161062 183025 219630 241593 366050 402655 483186 549075 805310 885841 1098150 1207965 1771682 2013275 2415930 2657523 4026550 4429205 5315046 6039825 8858410 12079650 13287615 22146025 26575230 44292050 66438075 132876150