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149553152 = 2177163
BaseRepresentation
bin10001110101000…
…00000000000000
3101102102002100122
420322200000000
5301241200102
622501235412
73464116010
oct1072400000
9342362318
10149553152
1177467551
1242102b68
1324ca36b8
1415c0dc40
15d1e20a2
hex8ea0000

149553152 has 72 divisors (see below), whose sum is σ = 343931616. Its totient is φ = 63700992.

The previous prime is 149553143. The next prime is 149553163. The reversal of 149553152 is 251355941.

It is a super-2 number, since 2×1495531522 = 44732290546270208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 917423 + ... + 917585.

It is an arithmetic number, because the mean of its divisors is an integer number (4776828).

Almost surely, 2149553152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149553152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171965808).

149553152 is an abundant number, since it is smaller than the sum of its proper divisors (194378464).

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

149553152 is an frugal number, since it uses more digits than its factorization.

149553152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 172 counting only the distinct ones).

The product of its digits is 27000, while the sum is 35.

The square root of 149553152 is about 12229.1926143961. The cubic root of 149553152 is about 530.8011521924.

The spelling of 149553152 in words is "one hundred forty-nine million, five hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 163 224 256 326 448 512 652 896 1024 1141 1304 1792 2048 2282 2608 3584 4096 4564 5216 7168 8192 9128 10432 14336 16384 18256 20864 28672 32768 36512 41728 57344 65536 73024 83456 114688 131072 146048 166912 229376 292096 333824 458752 584192 667648 917504 1168384 1335296 2336768 2670592 4673536 5341184 9347072 10682368 18694144 21364736 37388288 74776576 149553152