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137486872240 = 24541910134049
BaseRepresentation
bin1000000000001011011…
…0110010111010110000
3111010212200210202120021
42000002312302322300
54223033114402430
6143054404453224
712635024063134
oct2000266627260
9433780722507
10137486872240
1153342834053
12227900aa214
13cc71017453
1469239613c4
15389a2a107a
hex2002db2eb0

137486872240 has 80 divisors (see below), whose sum is σ = 320815404000. Its totient is φ = 54795800576.

The previous prime is 137486872217. The next prime is 137486872283. The reversal of 137486872240 is 42278684731.

137486872240 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 (80).

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, 33953736 + ... + 33957784.

It is an arithmetic number, because the mean of its divisors is an integer number (4010192550).

Almost surely, 2137486872240 is an apocalyptic number.

137486872240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137486872240 is an abundant number, since it is smaller than the sum of its proper divisors (183328531760).

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

137486872240 is a wasteful number, since it uses less digits than its factorization.

137486872240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5494 (or 5488 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 52.

The spelling of 137486872240 in words is "one hundred thirty-seven billion, four hundred eighty-six million, eight hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 419 838 1013 1676 2026 2095 3352 4049 4052 4190 5065 6704 8098 8104 8380 10130 16196 16208 16760 20245 20260 32392 33520 40490 40520 64784 80980 81040 161960 323920 424447 848894 1696531 1697788 2122235 3393062 3395576 4101637 4244470 6786124 6791152 8203274 8482655 8488940 13572248 16406548 16965310 16977880 20508185 27144496 32813096 33930620 33955760 41016370 65626192 67861240 82032740 135722480 164065480 328130960 1718585903 3437171806 6874343612 8592929515 13748687224 17185859030 27497374448 34371718060 68743436120 137486872240