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142137984 = 273894159
BaseRepresentation
bin10000111100011…
…01101010000000
3100220110100122210
420132031222000
5242341403414
622034302120
73344103312
oct1036155200
9326410583
10142137984
117326240a
123b727940
13235a8521
1414c3d7b2
15c729e59
hex878da80

142137984 has 64 divisors (see below), whose sum is σ = 381888000. Its totient is φ = 46835712.

The previous prime is 142137973. The next prime is 142138001. The reversal of 142137984 is 489731241.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32097 + ... + 36255.

It is an arithmetic number, because the mean of its divisors is an integer number (5967000).

Almost surely, 2142137984 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 142137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190944000).

142137984 is an abundant number, since it is smaller than the sum of its proper divisors (239750016).

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

142137984 is an equidigital number, since it uses as much as digits as its factorization.

142137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4253 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 142137984 is about 11922.1635620386. The cubic root of 142137984 is about 521.8792750866.

The spelling of 142137984 in words is "one hundred forty-two million, one hundred thirty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 267 356 384 534 712 1068 1424 2136 2848 4159 4272 5696 8318 8544 11392 12477 16636 17088 24954 33272 34176 49908 66544 99816 133088 199632 266176 370151 399264 532352 740302 798528 1110453 1480604 1597056 2220906 2961208 4441812 5922416 8883624 11844832 17767248 23689664 35534496 47379328 71068992 142137984