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13137454000 = 245311254287
BaseRepresentation
bin11000011110000110…
…11010001110110000
31020220120102210220101
430033003122032300
5203401142012000
610011341122144
7643362342106
oct141703321660
936816383811
1013137454000
115631828700
122667859354
1313149ca228
148c8b09c76
1551d553e6a
hex30f0da3b0

13137454000 has 120 divisors (see below), whose sum is σ = 34917390144. Its totient is φ = 4777168000.

The previous prime is 13137453983. The next prime is 13137454003. The reversal of 13137454000 is 45473131.

It is a self number, because there is not a number n which added to its sum of digits gives 13137454000.

It is not an unprimeable number, because it can be changed into a prime (13137454003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214857 + ... + 269143.

Almost surely, 213137454000 is an apocalyptic number.

13137454000 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 13137454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17458695072).

13137454000 is an abundant number, since it is smaller than the sum of its proper divisors (21779936144).

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

13137454000 is a wasteful number, since it uses less digits than its factorization.

13137454000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54332 (or 54305 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 13137454000 in words is "thirteen billion, one hundred thirty-seven million, four hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 880 968 1000 1100 1210 1375 1936 2000 2200 2420 2750 3025 4400 4840 5500 6050 9680 11000 12100 15125 22000 24200 30250 48400 54287 60500 108574 121000 217148 242000 271435 434296 542870 597157 868592 1085740 1194314 1357175 2171480 2388628 2714350 2985785 4342960 4777256 5428700 5971570 6568727 6785875 9554512 10857400 11943140 13137454 13571750 14928925 21714800 23886280 26274908 27143500 29857850 32843635 47772560 52549816 54287000 59715700 65687270 74644625 105099632 108574000 119431400 131374540 149289250 164218175 238862800 262749080 298578500 328436350 525498160 597157000 656872700 821090875 1194314000 1313745400 1642181750 2627490800 3284363500 6568727000 13137454000