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152012144000 = 27539500759
BaseRepresentation
bin1000110110010010100…
…0010011110110000000
3112112100222200000112102
42031210220103312000
54442310102102000
6153500003445532
713661000622203
oct2154450236600
9475328600472
10152012144000
115951698a782
12255646868a8
13114473b9202
147500acb93a
153e4a5903d5
hex2364a13d80

152012144000 has 64 divisors (see below), whose sum is σ = 377940232800. Its totient is φ = 60804851200.

The previous prime is 152012143993. The next prime is 152012144027. The reversal of 152012144000 is 441210251.

It is a happy number.

152012144000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4734380 + ... + 4766379.

Almost surely, 2152012144000 is an apocalyptic number.

152012144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152012144000 is an abundant number, since it is smaller than the sum of its proper divisors (225928088800).

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

152012144000 is an frugal number, since it uses more digits than its factorization.

152012144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9500788 (or 9500766 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 152012144000 its reverse (441210251), we get a palindrome (152453354251).

The spelling of 152012144000 in words is "one hundred fifty-two billion, twelve million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 9500759 19001518 38003036 47503795 76006072 95007590 152012144 190015180 237518975 304024288 380030360 475037950 608048576 760060720 950075900 1187594875 1216097152 1520121440 1900151800 2375189750 3040242880 3800303600 4750379500 6080485760 7600607200 9500759000 15201214400 19001518000 30402428800 38003036000 76006072000 152012144000