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132148125 = 335441191
BaseRepresentation
bin1111110000001…
…10101110011101
3100012122211011000
413320012232131
5232312220000
621040220513
73163145334
oct770065635
9305584130
10132148125
116865992a
123830a739
13214bb475
141379cd1b
15b905000
hex7e06b9d

132148125 has 80 divisors (see below), whose sum is σ = 251919360. Its totient is φ = 68400000.

The previous prime is 132148117. The next prime is 132148151. The reversal of 132148125 is 521841231.

It is not a de Polignac number, because 132148125 - 23 = 132148117 is a prime.

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

Its product of digits (1920) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 691780 + ... + 691970.

It is an arithmetic number, because the mean of its divisors is an integer number (3148992).

Almost surely, 2132148125 is an apocalyptic number.

132148125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132148125 is a deficient number, since it is larger than the sum of its proper divisors (119771235).

132148125 is an equidigital number, since it uses as much as digits as its factorization.

132148125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 132148125 is about 11495.5697988399. The cubic root of 132148125 is about 509.3547202334.

Adding to 132148125 its reverse (521841231), we get a palindrome (653989356).

The spelling of 132148125 in words is "one hundred thirty-two million, one hundred forty-eight thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 41 45 75 123 125 135 191 205 225 369 375 573 615 625 675 955 1025 1107 1125 1719 1845 1875 2865 3075 3375 4775 5125 5157 5535 5625 7831 8595 9225 14325 15375 16875 23493 23875 25625 25785 27675 39155 42975 46125 70479 71625 76875 117465 119375 128925 138375 195775 211437 214875 230625 352395 358125 587325 644625 691875 978875 1057185 1074375 1761975 2936625 3223125 4894375 5285925 8809875 14683125 26429625 44049375 132148125