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132132150 = 23252479613
BaseRepresentation
bin1111110000000…
…10110100110110
3100012122000020100
413320002310312
5232311212100
621040014530
73163050633
oct770026466
9305560210
10132132150
1168648927
1238301446
13214b4107
141379718a
15b900400
hex7e02d36

132132150 has 72 divisors (see below), whose sum is σ = 356316480. Its totient is φ = 35104320.

The previous prime is 132132083. The next prime is 132132151. The reversal of 132132150 is 51231231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132132151) 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, 215244 + ... + 215856.

It is an arithmetic number, because the mean of its divisors is an integer number (4948840).

Almost surely, 2132132150 is an apocalyptic number.

132132150 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 132132150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178158240).

132132150 is an abundant number, since it is smaller than the sum of its proper divisors (224184330).

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

132132150 is a wasteful number, since it uses less digits than its factorization.

132132150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 132132150 is about 11494.8749449483. The cubic root of 132132150 is about 509.3341946059.

Adding to 132132150 its reverse (51231231), we get a palindrome (183363381).

The spelling of 132132150 in words is "one hundred thirty-two million, one hundred thirty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 479 613 958 1226 1437 1839 2395 2874 3065 3678 4311 4790 5517 6130 7185 8622 9195 11034 11975 14370 15325 18390 21555 23950 27585 30650 35925 43110 45975 55170 71850 91950 107775 137925 215550 275850 293627 587254 880881 1468135 1761762 2642643 2936270 4404405 5285286 7340675 8808810 13213215 14681350 22022025 26426430 44044050 66066075 132132150