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132054153 = 37114173191
BaseRepresentation
bin1111101111011…
…11110010001001
3100012111001020120
413313233302021
5232301213103
621034213453
73162304350
oct767576211
9305431216
10132054153
11685a5270
1238284289
132148776a
1413776997
15b8d7253
hex7defc89

132054153 has 64 divisors (see below), whose sum is σ = 229146624. Its totient is φ = 65664000.

The previous prime is 132054149. The next prime is 132054179. The reversal of 132054153 is 351450231.

It is not a de Polignac number, because 132054153 - 22 = 132054149 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132054193) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 691288 + ... + 691478.

It is an arithmetic number, because the mean of its divisors is an integer number (3580416).

Almost surely, 2132054153 is an apocalyptic number.

It is an amenable number.

132054153 is a deficient number, since it is larger than the sum of its proper divisors (97092471).

132054153 is a wasteful number, since it uses less digits than its factorization.

132054153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 132054153 is about 11491.4817582416. The cubic root of 132054153 is about 509.2339556695.

The spelling of 132054153 in words is "one hundred thirty-two million, fifty-four thousand, one hundred fifty-three".

Divisors: 1 3 7 11 21 33 41 73 77 123 191 219 231 287 451 511 573 803 861 1337 1353 1533 2101 2409 2993 3157 4011 5621 6303 7831 8979 9471 13943 14707 16863 20951 23493 32923 41829 44121 54817 62853 86141 97601 98769 153373 164451 230461 258423 292803 460119 571663 602987 691383 1073611 1714989 1808961 3220833 4001641 6288293 12004923 18864879 44018051 132054153