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149125312 = 267367907
BaseRepresentation
bin10001110001101…
…11100011000000
3101101121100110201
420320313203000
5301134002222
622444134544
73460354450
oct1070674300
9341540421
10149125312
11771a5066
1241b37454
1324b83a3b
1415b3bd60
15d15a427
hex8e378c0

149125312 has 56 divisors (see below), whose sum is σ = 339490304. Its totient is φ = 63666432.

The previous prime is 149125303. The next prime is 149125321. The reversal of 149125312 is 213521941.

It is an interprime number because it is at equal distance from previous prime (149125303) and next prime (149125321).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163963 + ... + 164869.

Almost surely, 2149125312 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 149125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169745152).

149125312 is an abundant number, since it is smaller than the sum of its proper divisors (190364992).

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

149125312 is an equidigital number, since it uses as much as digits as its factorization.

149125312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1283 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 149125312 is about 12211.6875164737. The cubic root of 149125312 is about 530.2944987238.

The spelling of 149125312 in words is "one hundred forty-nine million, one hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 367 448 734 907 1468 1814 2569 2936 3628 5138 5872 6349 7256 10276 11744 12698 14512 20552 23488 25396 29024 41104 50792 58048 82208 101584 164416 203168 332869 406336 665738 1331476 2330083 2662952 4660166 5325904 9320332 10651808 18640664 21303616 37281328 74562656 149125312