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142525152 = 25327116427
BaseRepresentation
bin10000111111011…
…00001011100000
3100221012000202100
420133230023200
5242441301102
622050450400
73350305140
oct1037541340
9327160670
10142525152
11734a7290
123b893a00
13236b2813
1414d00920
15c7a4a1c
hex87ec2e0

142525152 has 144 divisors (see below), whose sum is σ = 505395072. Its totient is φ = 37013760.

The previous prime is 142525151. The next prime is 142525157. The reversal of 142525152 is 251525241.

142525152 is a `hidden beast` number, since 142 + 5 + 2 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142525151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18963 + ... + 25389.

It is an arithmetic number, because the mean of its divisors is an integer number (3509688).

Almost surely, 2142525152 is an apocalyptic number.

142525152 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 142525152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252697536).

142525152 is an abundant number, since it is smaller than the sum of its proper divisors (362869920).

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

142525152 is a wasteful number, since it uses less digits than its factorization.

142525152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6461 (or 6450 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 142525152 is about 11938.3898411804. The cubic root of 142525152 is about 522.3526924618.

The spelling of 142525152 in words is "one hundred forty-two million, five hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 6427 7392 11088 12854 19281 22176 25708 38562 44989 51416 57843 70697 77124 89978 102832 115686 134967 141394 154248 179956 205664 212091 231372 269934 282788 308496 359912 404901 424182 462744 494879 539868 565576 616992 636273 719824 809802 848364 925488 989758 1079736 1131152 1272546 1439648 1484637 1619604 1696728 1850976 1979516 2159472 2262304 2545092 2969274 3239208 3393456 3959032 4318944 4453911 5090184 5938548 6478416 6786912 7918064 8907822 10180368 11877096 12956832 15836128 17815644 20360736 23754192 35631288 47508384 71262576 142525152