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149151000 = 2335383599
BaseRepresentation
bin10001110001111…
…01110100011000
3101101122122201010
420320331310120
5301140313000
622444453520
73460522365
oct1070756430
9341578633
10149151000
1177212399
1241b4a2a0
1324b9263b
1415b4746c
15d162d50
hex8e3dd18

149151000 has 128 divisors (see below), whose sum is σ = 471744000. Its totient is φ = 39228800.

The previous prime is 149150999. The next prime is 149151001. The reversal of 149151000 is 151941.

149151000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149150999) and next prime (149151001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149151001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248701 + ... + 249299.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2149151000 is an apocalyptic number.

149151000 is a gapful number since it is divisible by the number (10) 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 149151000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

149151000 is an abundant number, since it is smaller than the sum of its proper divisors (322593000).

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

149151000 is a wasteful number, since it uses less digits than its factorization.

149151000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 149151000 is about 12212.7392504712. The cubic root of 149151000 is about 530.3249460990.

The spelling of 149151000 in words is "one hundred forty-nine million, one hundred fifty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 125 150 166 200 249 250 300 332 375 415 498 500 599 600 664 750 830 996 1000 1198 1245 1500 1660 1797 1992 2075 2396 2490 2995 3000 3320 3594 4150 4792 4980 5990 6225 7188 8300 8985 9960 10375 11980 12450 14376 14975 16600 17970 20750 23960 24900 29950 31125 35940 41500 44925 49717 49800 59900 62250 71880 74875 83000 89850 99434 119800 124500 149151 149750 179700 198868 224625 248585 249000 298302 299500 359400 397736 449250 497170 596604 599000 745755 898500 994340 1193208 1242925 1491510 1797000 1988680 2485850 2983020 3728775 4971700 5966040 6214625 7457550 9943400 12429250 14915100 18643875 24858500 29830200 37287750 49717000 74575500 149151000