Search a number
-
+
152197137000 = 2334531878977
BaseRepresentation
bin1000110110111110101…
…0000000001001101000
3112112211212202122020000
42031233222000021220
54443144431341000
6153530212503000
713665405214326
oct2155752001150
9475755678200
10152197137000
1159601352757
12255b661aa60
131147681a91c
14751b4c4d16
153e5b933000
hex236fa80268

152197137000 has 160 divisors (see below), whose sum is σ = 532013830920. Its totient is φ = 40585881600.

The previous prime is 152197136939. The next prime is 152197137007. The reversal of 152197137000 is 731791251.

152197137000 is a `hidden beast` number, since 1 + 5 + 219 + 71 + 370 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13862236644 + 138334900356 = 117738^2 + 371934^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (152197137007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 858489 + ... + 1020488.

Almost surely, 2152197137000 is an apocalyptic number.

152197137000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152197137000 is an abundant number, since it is smaller than the sum of its proper divisors (379816693920).

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

152197137000 is a wasteful number, since it uses less digits than its factorization.

152197137000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879010 (or 1878987 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The spelling of 152197137000 in words is "one hundred fifty-two billion, one hundred ninety-seven million, one hundred thirty-seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 648 675 750 810 900 1000 1080 1125 1350 1500 1620 1800 2025 2250 2700 3000 3240 3375 4050 4500 5400 6750 8100 9000 10125 13500 16200 20250 27000 40500 81000 1878977 3757954 5636931 7515908 9394885 11273862 15031816 16910793 18789770 22547724 28184655 33821586 37579540 45095448 46974425 50732379 56369310 67643172 75159080 84553965 93948850 101464758 112738620 135286344 140923275 152197137 169107930 187897700 202929516 225477240 234872125 253661895 281846550 304394274 338215860 375795400 405859032 422769825 469744250 507323790 563693100 608788548 676431720 704616375 760985685 845539650 939488500 1014647580 1127386200 1217577096 1268309475 1409232750 1521971370 1691079300 1878977000 2029295160 2113849125 2536618950 2818465500 3043942740 3382158600 3804928425 4227698250 5073237900 5636931000 6087885480 6341547375 7609856850 8455396500 10146475800 12683094750 15219713700 16910793000 19024642125 25366189500 30439427400 38049284250 50732379000 76098568500 152197137000