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132148863 = 32711414651
BaseRepresentation
bin1111110000001…
…10111001111111
3100012122212011100
413320012321333
5232312230423
621040224143
73163150440
oct770067177
9305585140
10132148863
116865a440
123830b053
13214bb8c2
141379d2c7
15b905343
hex7e06e7f

132148863 has 48 divisors (see below), whose sum is σ = 243839232. Its totient is φ = 66960000.

The previous prime is 132148817. The next prime is 132148879. The reversal of 132148863 is 368841231.

It is not a de Polignac number, because 132148863 - 26 = 132148799 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132143863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26088 + ... + 30738.

It is an arithmetic number, because the mean of its divisors is an integer number (5079984).

Almost surely, 2132148863 is an apocalyptic number.

132148863 is a deficient number, since it is larger than the sum of its proper divisors (111690369).

132148863 is a wasteful number, since it uses less digits than its factorization.

132148863 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716 (or 4713 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 132148863 is about 11495.6018981174. The cubic root of 132148863 is about 509.3556684196.

The spelling of 132148863 in words is "one hundred thirty-two million, one hundred forty-eight thousand, eight hundred sixty-three".

Divisors: 1 3 7 9 11 21 33 41 63 77 99 123 231 287 369 451 693 861 1353 2583 3157 4059 4651 9471 13953 28413 32557 41859 51161 97671 153483 190691 293013 358127 460449 572073 1074381 1334837 1716219 2097601 3223143 4004511 6292803 12013533 14683207 18878409 44049621 132148863