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132501285 = 3357314523
BaseRepresentation
bin1111110010111…
…00111100100101
3100020022202121000
413321130330211
5232410020120
621051543513
73166146060
oct771347445
9306282530
10132501285
11688801a4
123845ab99
13215b3137
14138518d7
15b974990
hex7e5cf25

132501285 has 64 divisors (see below), whose sum is σ = 277954560. Its totient is φ = 58605120.

The previous prime is 132501263. The next prime is 132501289. The reversal of 132501285 is 582105231.

It is a happy number.

132501285 is a `hidden beast` number, since 132 + 501 + 28 + 5 = 666.

It is not a de Polignac number, because 132501285 - 219 = 131976997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132501289) 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 63 ways as a sum of consecutive naturals, for example, 27034 + ... + 31556.

It is an arithmetic number, because the mean of its divisors is an integer number (4343040).

Almost surely, 2132501285 is an apocalyptic number.

132501285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132501285 is an abundant number, since it is smaller than the sum of its proper divisors (145453275).

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

132501285 is a wasteful number, since it uses less digits than its factorization.

132501285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575 (or 4569 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 132501285 is about 11510.9202499192. The cubic root of 132501285 is about 509.8080592592.

It can be divided in two parts, 13250 and 1285, that added together give a triangular number (14535 = T170).

The spelling of 132501285 in words is "one hundred thirty-two million, five hundred one thousand, two hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 63 93 105 135 155 189 217 279 315 465 651 837 945 1085 1395 1953 3255 4185 4523 5859 9765 13569 22615 29295 31661 40707 67845 94983 122121 140213 158305 203535 284949 420639 474915 610605 701065 854847 981491 1261917 1424745 2103195 2944473 3785751 4274235 4907455 6309585 8833419 14722365 18928755 26500257 44167095 132501285