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148896132 = 223711179479
BaseRepresentation
bin10001101111111…
…11100110000100
3101101011201002120
420313333212010
5301104134012
622435205540
73455411340
oct1067774604
9341151076
10148896132
1177058960
1241a468b0
1324b03628
1415abc620
15d11258c
hex8dff984

148896132 has 96 divisors (see below), whose sum is σ = 458680320. Its totient is φ = 36395520.

The previous prime is 148896061. The next prime is 148896161. The reversal of 148896132 is 231698841.

It is a super-2 number, since 2×1488961322 = 44340116249122848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10969 + ... + 20447.

It is an arithmetic number, because the mean of its divisors is an integer number (4777920).

Almost surely, 2148896132 is an apocalyptic number.

148896132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148896132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229340160).

148896132 is an abundant number, since it is smaller than the sum of its proper divisors (309784188).

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

148896132 is a wasteful number, since it uses less digits than its factorization.

148896132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9521 (or 9519 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 148896132 is about 12202.3002749482. The cubic root of 148896132 is about 530.0227022434.

The spelling of 148896132 in words is "one hundred forty-eight million, eight hundred ninety-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 714 748 924 1122 1309 1428 2244 2618 3927 5236 7854 9479 15708 18958 28437 37916 56874 66353 104269 113748 132706 161143 199059 208538 265412 312807 322286 398118 417076 483429 625614 644572 729883 796236 966858 1128001 1251228 1459766 1772573 1933716 2189649 2256002 2919532 3384003 3545146 4379298 4512004 5317719 6768006 7090292 8758596 10635438 12408011 13536012 21270876 24816022 37224033 49632044 74448066 148896132