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132125504 = 267294923
BaseRepresentation
bin1111110000000…
…01001101000000
3100012121200010012
413320001031000
5232311004004
621035524052
73163022360
oct770011500
9305550105
10132125504
1168643935
12382b9628
13214b1094
14137949a0
15b8ed46e
hex7e01340

132125504 has 28 divisors (see below), whose sum is σ = 299642784. Its totient is φ = 56625024.

The previous prime is 132125489. The next prime is 132125509. The reversal of 132125504 is 405521231.

It is a tau number, because it is divible by the number of its divisors (28).

It is a self number, because there is not a number n which added to its sum of digits gives 132125504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132125509) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 147014 + ... + 147909.

It is an arithmetic number, because the mean of its divisors is an integer number (10701528).

Almost surely, 2132125504 is an apocalyptic number.

132125504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132125504 is an abundant number, since it is smaller than the sum of its proper divisors (167517280).

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

132125504 is an equidigital number, since it uses as much as digits as its factorization.

132125504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294942 (or 294932 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 132125504 is about 11494.5858559584. The cubic root of 132125504 is about 509.3256549437.

Adding to 132125504 its reverse (405521231), we get a palindrome (537646735).

The spelling of 132125504 in words is "one hundred thirty-two million, one hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 294923 589846 1179692 2064461 2359384 4128922 4718768 8257844 9437536 16515688 18875072 33031376 66062752 132125504