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132880125 = 3537223227
BaseRepresentation
bin1111110101110…
…01011011111101
3100021001000021010
413322321123331
5233004131000
621104025433
73202314420
oct772713375
9307030233
10132880125
1169009894
1238602279
13216b66c1
141390d9b7
15b9ebd50
hex7eb96fd

132880125 has 64 divisors (see below), whose sum is σ = 254951424. Its totient is φ = 60206400.

The previous prime is 132880093. The next prime is 132880127. The reversal of 132880125 is 521088231.

It is not a de Polignac number, because 132880125 - 25 = 132880093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132880092 and 132880101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132880127) 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, 585262 + ... + 585488.

It is an arithmetic number, because the mean of its divisors is an integer number (3983616).

Almost surely, 2132880125 is an apocalyptic number.

132880125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132880125 is a deficient number, since it is larger than the sum of its proper divisors (122071299).

132880125 is a wasteful number, since it uses less digits than its factorization.

132880125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 132880125 is about 11527.3641826742. The cubic root of 132880125 is about 510.2934681605.

The spelling of 132880125 in words is "one hundred thirty-two million, eight hundred eighty thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 175 223 227 375 525 669 681 875 1115 1135 1561 1589 2625 3345 3405 4683 4767 5575 5675 7805 7945 16725 17025 23415 23835 27875 28375 39025 39725 50621 83625 85125 117075 119175 151863 195125 198625 253105 354347 585375 595875 759315 1063041 1265525 1771735 3796575 5315205 6327625 8858675 18982875 26576025 44293375 132880125