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149196132 = 223219593697
BaseRepresentation
bin10001110010010…
…00110101100100
3101101201221121200
420321020311210
5301143234012
622445442500
73461101101
oct1071106544
9341657550
10149196132
1177243298
1241b70430
1324baa047
1415b59aa8
15d1713dc
hex8e48d64

149196132 has 72 divisors (see below), whose sum is σ = 403821600. Its totient is φ = 46303488.

The previous prime is 149196127. The next prime is 149196133. The reversal of 149196132 is 231691941.

It is a happy number.

It is a super-2 number, since 2×1491961322 = 44518971607522848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (149196133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38508 + ... + 42204.

Almost surely, 2149196132 is an apocalyptic number.

149196132 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 149196132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201910800).

149196132 is an abundant number, since it is smaller than the sum of its proper divisors (254625468).

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

149196132 is a wasteful number, since it uses less digits than its factorization.

149196132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785 (or 3780 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 149196132 is about 12214.5868534306. The cubic root of 149196132 is about 530.3784315192.

The spelling of 149196132 in words is "one hundred forty-nine million, one hundred ninety-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 59 76 114 118 171 177 228 236 342 354 531 684 708 1062 1121 2124 2242 3363 3697 4484 6726 7394 10089 11091 13452 14788 20178 22182 33273 40356 44364 66546 70243 133092 140486 210729 218123 280972 421458 436246 632187 654369 842916 872492 1264374 1308738 1963107 2528748 2617476 3926214 4144337 7852428 8288674 12433011 16577348 24866022 37299033 49732044 74598066 149196132