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132926625 = 32531361149
BaseRepresentation
bin1111110110001…
…00110010100001
3100021010101001100
413323010302201
5233012123000
621105025013
73202600116
oct773046241
9307111040
10132926625
1169040817
1238625169
1321701910
141392290d
15ba0aa00
hex7ec4ca1

132926625 has 96 divisors (see below), whose sum is σ = 264045600. Its totient is φ = 63936000.

The previous prime is 132926623. The next prime is 132926657. The reversal of 132926625 is 526629231.

132926625 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 26 + 625 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 130233744 + 2692881 = 11412^2 + 1641^2 .

It is not a de Polignac number, because 132926625 - 21 = 132926623 is a prime.

Together with 131118975 it forms an amicable pair .

It is a self number, because there is not a number n which added to its sum of digits gives 132926625.

It is not an unprimeable number, because it can be changed into a prime (132926623) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 892051 + ... + 892199.

It is an arithmetic number, because the mean of its divisors is an integer number (2750475).

Almost surely, 2132926625 is an apocalyptic number.

132926625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132926625 is a deficient number, since it is larger than the sum of its proper divisors (131118975).

132926625 is a wasteful number, since it uses less digits than its factorization.

132926625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 132926625 is about 11529.3809460873. The cubic root of 132926625 is about 510.3529851599.

The spelling of 132926625 in words is "one hundred thirty-two million, nine hundred twenty-six thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 61 65 75 117 125 149 183 195 225 305 325 375 447 549 585 745 793 915 975 1125 1341 1525 1625 1937 2235 2379 2745 2925 3725 3965 4575 4875 5811 6705 7137 7625 9089 9685 11175 11895 13725 14625 17433 18625 19825 22875 27267 29055 33525 35685 45445 48425 55875 59475 68625 81801 87165 99125 118157 136335 145275 167625 178425 227225 242125 297375 354471 409005 435825 590785 681675 726375 892125 1063413 1136125 1772355 2045025 2179125 2953925 3408375 5317065 8861775 10225125 14769625 26585325 44308875 132926625