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149151100 = 22527261499
BaseRepresentation
bin10001110001111…
…01110101111100
3101101122122211211
420320331311330
5301140313400
622444454204
73460522600
oct1070756574
9341578754
10149151100
117721247a
1241b4a364
1324b926b7
1415b47500
15d162dba
hex8e3dd7c

149151100 has 108 divisors (see below), whose sum is σ = 383439000. Its totient is φ = 50198400.

The previous prime is 149151091. The next prime is 149151103. The reversal of 149151100 is 1151941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149151103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 298651 + ... + 299149.

Almost surely, 2149151100 is an apocalyptic number.

149151100 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 149151100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191719500).

149151100 is an abundant number, since it is smaller than the sum of its proper divisors (234287900).

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

149151100 is a wasteful number, since it uses less digits than its factorization.

149151100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

The square root of 149151100 is about 12212.7433445561. The cubic root of 149151100 is about 530.3250646198.

The spelling of 149151100 in words is "one hundred forty-nine million, one hundred fifty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 61 70 98 100 122 140 175 196 244 245 305 350 427 490 499 610 700 854 980 998 1220 1225 1525 1708 1996 2135 2450 2495 2989 3050 3493 4270 4900 4990 5978 6100 6986 8540 9980 10675 11956 12475 13972 14945 17465 21350 24451 24950 29890 30439 34930 42700 48902 49900 59780 60878 69860 74725 87325 97804 121756 122255 149450 152195 174650 213073 244510 298900 304390 349300 426146 489020 608780 611275 760975 852292 1065365 1222550 1491511 1521950 2130730 2445100 2983022 3043900 4261460 5326825 5966044 7457555 10653650 14915110 21307300 29830220 37287775 74575550 149151100