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149502132 = 22331328191
BaseRepresentation
bin10001110100100…
…11100010110100
3101102022111101000
420322103202310
5301233032012
622500203300
73463514163
oct1072234264
9342274330
10149502132
117743218a
1242099530
1324c86400
1415bd93da
15d1d1ddc
hex8e938b4

149502132 has 72 divisors (see below), whose sum is σ = 419758080. Its totient is φ = 45995040.

The previous prime is 149502121. The next prime is 149502137. The reversal of 149502132 is 231205941.

149502132 is a `hidden beast` number, since 149 + 502 + 13 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 149502096 and 149502105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149502137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14157 + ... + 22347.

Almost surely, 2149502132 is an apocalyptic number.

149502132 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 149502132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209879040).

149502132 is an abundant number, since it is smaller than the sum of its proper divisors (270255948).

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

149502132 is a wasteful number, since it uses less digits than its factorization.

149502132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8230 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 149502132 is about 12227.1064442901. The cubic root of 149502132 is about 530.7407844577.

The spelling of 149502132 in words is "one hundred forty-nine million, five hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 3042 4563 6084 8191 9126 16382 18252 24573 32764 49146 73719 98292 106483 147438 212966 221157 294876 319449 425932 442314 638898 884628 958347 1277796 1384279 1916694 2768558 2875041 3833388 4152837 5537116 5750082 8305674 11500164 12458511 16611348 24917022 37375533 49834044 74751066 149502132