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153025131120 = 24351374654049
BaseRepresentation
bin1000111010000100000…
…0100011001001110000
3112121222120210002121220
42032201000203021300
510001343413143440
6154144311345040
714025051103341
oct2164100431160
9477876702556
10153025131120
1159996773a14
12257a7982180
1311579222784
14759945a0c8
153ea94898d0
hex23a1023270

153025131120 has 80 divisors (see below), whose sum is σ = 477840621600. Its totient is φ = 40508833792.

The previous prime is 153025131107. The next prime is 153025131163. The reversal of 153025131120 is 21131520351.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2294145 + ... + 2359904.

It is an arithmetic number, because the mean of its divisors is an integer number (5973007770).

Almost surely, 2153025131120 is an apocalyptic number.

153025131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153025131120 is an abundant number, since it is smaller than the sum of its proper divisors (324815490480).

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

153025131120 is a wasteful number, since it uses less digits than its factorization.

153025131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4654202 (or 4654196 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 153025131120 its reverse (21131520351), we get a palindrome (174156651471).

The spelling of 153025131120 in words is "one hundred fifty-three billion, twenty-five million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 548 685 822 1096 1370 1644 2055 2192 2740 3288 4110 5480 6576 8220 10960 16440 32880 4654049 9308098 13962147 18616196 23270245 27924294 37232392 46540490 55848588 69810735 74464784 93080980 111697176 139621470 186161960 223394352 279242940 372323920 558485880 637604713 1116971760 1275209426 1912814139 2550418852 3188023565 3825628278 5100837704 6376047130 7651256556 9564070695 10201675408 12752094260 15302513112 19128141390 25504188520 30605026224 38256282780 51008377040 76512565560 153025131120