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132136940 = 225134791061
BaseRepresentation
bin1111110000000…
…11111111101100
3100012122020210202
413320003333230
5232311340230
621040053032
73163100615
oct770037754
9305566722
10132136940
1168651491
1238304178
13214b6350
1413798c0c
15b901a45
hex7e03fec

132136940 has 48 divisors (see below), whose sum is σ = 299738880. Its totient is φ = 48641280.

The previous prime is 132136933. The next prime is 132136943. The reversal of 132136940 is 49631231.

It is not an unprimeable number, because it can be changed into a prime (132136943) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 124010 + ... + 125070.

It is an arithmetic number, because the mean of its divisors is an integer number (6244560).

Almost surely, 2132136940 is an apocalyptic number.

132136940 is a gapful number since it is divisible by the number (10) 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 132136940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149869440).

132136940 is an abundant number, since it is smaller than the sum of its proper divisors (167601940).

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

132136940 is a wasteful number, since it uses less digits than its factorization.

132136940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 132136940 is about 11495.0832967839. The cubic root of 132136940 is about 509.3403492557.

The spelling of 132136940 in words is "one hundred thirty-two million, one hundred thirty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 479 958 1061 1916 2122 2395 4244 4790 5305 6227 9580 10610 12454 13793 21220 24908 27586 31135 55172 62270 68965 124540 137930 275860 508219 1016438 2032876 2541095 5082190 6606847 10164380 13213694 26427388 33034235 66068470 132136940