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142219152 = 243689137
BaseRepresentation
bin10000111101000…
…01011110010000
3100220121111000000
420132201132100
5242402003102
622040130000
73344562045
oct1036413620
9326544000
10142219152
1173308399
123b766900
132360645a
1414c611cc
15c74401c
hex87a1790

142219152 has 140 divisors (see below), whose sum is σ = 420826860. Its totient is φ = 46531584.

The previous prime is 142219151. The next prime is 142219163. The reversal of 142219152 is 251912241.

142219152 is a `hidden beast` number, since 1 + 422 + 191 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53934336 + 88284816 = 7344^2 + 9396^2 .

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

It is not an unprimeable number, because it can be changed into a prime (142219151) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1038028 + ... + 1038164.

Almost surely, 2142219152 is an apocalyptic number.

142219152 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 142219152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210413430).

142219152 is an abundant number, since it is smaller than the sum of its proper divisors (278607708).

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

142219152 is an equidigital number, since it uses as much as digits as its factorization.

142219152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 231 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 142219152 is about 11925.5671563243. The cubic root of 142219152 is about 521.9785960308.

The spelling of 142219152 in words is "one hundred forty-two million, two hundred nineteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 89 108 137 144 162 178 216 243 267 274 324 356 411 432 486 534 548 648 712 729 801 822 972 1068 1096 1233 1296 1424 1458 1602 1644 1944 2136 2192 2403 2466 2916 3204 3288 3699 3888 4272 4806 4932 5832 6408 6576 7209 7398 9612 9864 11097 11664 12193 12816 14418 14796 19224 19728 21627 22194 24386 28836 29592 33291 36579 38448 43254 44388 48772 57672 59184 64881 66582 73158 86508 88776 97544 99873 109737 115344 129762 133164 146316 173016 177552 195088 199746 219474 259524 266328 292632 329211 346032 399492 438948 519048 532656 585264 658422 798984 877896 987633 1038096 1316844 1597968 1755792 1975266 2633688 2962899 3950532 5267376 5925798 7901064 8888697 11851596 15802128 17777394 23703192 35554788 47406384 71109576 142219152