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152134514252000 = 255375433375509
BaseRepresentation
bin100010100101110110010011…
…101011100001100011100000
3201221122220202212121122120222
4202211312103223201203200
5124420032441122031000
61255321344144222212
744021233041425360
oct4245662353414340
9657586685548528
10152134514252000
114452498117a555
121509083100a968
1366b72b92cb627
14297d4c7b109a0
15128c57b726a85
hex8a5d93ae18e0

152134514252000 has 96 divisors (see below), whose sum is σ = 427193716098240. Its totient is φ = 52160404876800.

The previous prime is 152134514251997. The next prime is 152134514252009. The reversal of 152134514252000 is 252415431251.

It is a super-2 number, since 2×1521345142520002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152134514252009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2716659755 + ... + 2716715754.

It is an arithmetic number, because the mean of its divisors is an integer number (4449934542690).

Almost surely, 2152134514252000 is an apocalyptic number.

152134514252000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152134514252000 is an abundant number, since it is smaller than the sum of its proper divisors (275059201846240).

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

152134514252000 is an equidigital number, since it uses as much as digits as its factorization.

152134514252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5433375541 (or 5433375523 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 152134514252000 its reverse (252415431251), we get a palindrome (152386929683251).

The spelling of 152134514252000 in words is "one hundred fifty-two trillion, one hundred thirty-four billion, five hundred fourteen million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 5433375509 10866751018 21733502036 27166877545 38033628563 43467004072 54333755090 76067257126 86934008144 108667510180 135834387725 152134514252 173868016288 190168142815 217335020360 271668775450 304269028504 380336285630 434670040720 543337550900 608538057008 679171938625 760672571260 869340081440 950840714075 1086675101800 1217076114016 1358343877250 1521345142520 1901681428150 2173350203600 2716687754500 3042690285040 3803362856300 4346700407200 4754203570375 5433375509000 6085380570080 7606725712600 9508407140750 10866751018000 15213451425200 19016814281500 21733502036000 30426902850400 38033628563000 76067257126000 152134514252000