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132375375 = 32531119563
BaseRepresentation
bin1111110001111…
…10001101001111
3100020002100212200
413320332031033
5232342003000
621045132543
73165113016
oct770761517
9306070780
10132375375
11687a4640
12383ba153
132156aa32
141381ba7d
15b94c500
hex7e3e34f

132375375 has 96 divisors (see below), whose sum is σ = 274510080. Its totient is φ = 60696000.

The previous prime is 132375259. The next prime is 132375391. The reversal of 132375375 is 573573231.

It is not a de Polignac number, because 132375375 - 27 = 132375247 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234844 + ... + 235406.

It is an arithmetic number, because the mean of its divisors is an integer number (2859480).

Almost surely, 2132375375 is an apocalyptic number.

132375375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132375375 is an abundant number, since it is smaller than the sum of its proper divisors (142134705).

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

132375375 is a wasteful number, since it uses less digits than its factorization.

132375375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 601 counting only the distinct ones).

The product of its digits is 66150, while the sum is 36.

The square root of 132375375 is about 11505.4497956403. The cubic root of 132375375 is about 509.6465255409.

The spelling of 132375375 in words is "one hundred thirty-two million, three hundred seventy-five thousand, three hundred seventy-five".

Divisors: 1 3 5 9 11 15 19 25 33 45 55 57 75 95 99 125 165 171 209 225 275 285 375 475 495 563 627 825 855 1045 1125 1375 1425 1689 1881 2375 2475 2815 3135 4125 4275 5067 5225 6193 7125 8445 9405 10697 12375 14075 15675 18579 21375 25335 26125 30965 32091 42225 47025 53485 55737 70375 78375 92895 96273 117667 126675 154825 160455 211125 235125 267425 278685 353001 464475 481365 588335 633375 774125 802275 1059003 1337125 1393425 1765005 2322375 2406825 2941675 4011375 5295015 6967125 8825025 12034125 14708375 26475075 44125125 132375375