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125235131520 = 2735347187973
BaseRepresentation
bin111010010100010011…
…0000111010010000000
3102222020211222211212110
41310220212013102000
54022440143202040
6133310543255320
712022305024342
oct1645046072200
9388224884773
10125235131520
1149125a6a9a4
1220330baa540
13ba6a980b25
1460c0733292
1533ce8a5980
hex1d28987480

125235131520 has 128 divisors (see below), whose sum is σ = 400339506240. Its totient is φ = 33299615744.

The previous prime is 125235131507. The next prime is 125235131533. The reversal of 125235131520 is 25131532521.

It is an interprime number because it is at equal distance from previous prime (125235131507) and next prime (125235131533).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572254 + ... + 760226.

Almost surely, 2125235131520 is an apocalyptic number.

125235131520 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 125235131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200169753120).

125235131520 is an abundant number, since it is smaller than the sum of its proper divisors (275104374720).

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

125235131520 is a wasteful number, since it uses less digits than its factorization.

125235131520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188342 (or 188330 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 125235131520 in words is "one hundred twenty-five billion, two hundred thirty-five million, one hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 347 384 480 640 694 960 1041 1388 1735 1920 2082 2776 3470 4164 5205 5552 6940 8328 10410 11104 13880 16656 20820 22208 27760 33312 41640 44416 55520 66624 83280 111040 133248 166560 187973 222080 333120 375946 563919 666240 751892 939865 1127838 1503784 1879730 2255676 2819595 3007568 3759460 4511352 5639190 6015136 7518920 9022704 11278380 12030272 15037840 18045408 22556760 24060544 30075680 36090816 45113520 60151360 65226631 72181632 90227040 120302720 130453262 180454080 195679893 260906524 326133155 360908160 391359786 521813048 652266310 782719572 978399465 1043626096 1304532620 1565439144 1956798930 2087252192 2609065240 3130878288 3913597860 4174504384 5218130480 6261756576 7827195720 8349008768 10436260960 12523513152 15654391440 20872521920 25047026304 31308782880 41745043840 62617565760 125235131520