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132125688 = 2333611693
BaseRepresentation
bin1111110000000…
…01001111111000
3100012121200101000
413320001033320
5232311010223
621035525000
73163023042
oct770011770
9305550330
10132125688
1168643a92
12382b9760
13214b11a6
1413794a92
15b8ed543
hex7e013f8

132125688 has 32 divisors (see below), whose sum is σ = 367016400. Its totient is φ = 44041824.

The previous prime is 132125671. The next prime is 132125699. The reversal of 132125688 is 886521231.

It is a happy number.

132125688 is a `hidden beast` number, since 1 + 321 + 256 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305631 + ... + 306062.

Almost surely, 2132125688 is an apocalyptic number.

132125688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132125688 is an abundant number, since it is smaller than the sum of its proper divisors (234890712).

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

132125688 is a wasteful number, since it uses less digits than its factorization.

132125688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611708 (or 611698 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 132125688 is about 11494.5938597238. The cubic root of 132125688 is about 509.3258913751.

The spelling of 132125688 in words is "one hundred thirty-two million, one hundred twenty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 611693 1223386 1835079 2446772 3670158 4893544 5505237 7340316 11010474 14680632 16515711 22020948 33031422 44041896 66062844 132125688