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152140320020 = 22513264370003
BaseRepresentation
bin1000110110110001000…
…1010000110100010100
3112112200220212000222102
42031230101100310110
54443040410220040
6153520423021232
713664115245213
oct2155421206424
9475626760872
10152140320020
1159582276277
122559b59a818
1311467b16700
147513b3507a
153e5695d515
hex236c450d14

152140320020 has 72 divisors (see below), whose sum is σ = 346504679136. Its totient is φ = 56086722432.

The previous prime is 152140319987. The next prime is 152140320041. The reversal of 152140320020 is 20023041251.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 152140319974 and 152140320001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2138339 + ... + 2208341.

It is an arithmetic number, because the mean of its divisors is an integer number (4812564988).

Almost surely, 2152140320020 is an apocalyptic number.

152140320020 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 152140320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173252339568).

152140320020 is an abundant number, since it is smaller than the sum of its proper divisors (194364359116).

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

152140320020 is a wasteful number, since it uses less digits than its factorization.

152140320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70681 (or 70666 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 152140320020 its reverse (20023041251), we get a palindrome (172163361271).

The spelling of 152140320020 in words is "one hundred fifty-two billion, one hundred forty million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 643 676 845 1286 1690 2572 3215 3380 6430 8359 12860 16718 33436 41795 70003 83590 108667 140006 167180 217334 280012 350015 434668 543335 700030 910039 1086670 1400060 1820078 2173340 3640156 4550195 9100390 11830507 18200780 23661014 45011929 47322028 59152535 90023858 118305070 180047716 225059645 236610140 450119290 585155077 900238580 1170310154 2340620308 2925775385 5851550770 7607016001 11703101540 15214032002 30428064004 38035080005 76070160010 152140320020